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Published in: Information Systems Frontiers 5/2015

01-10-2015

Social balance in signed networks

Authors: Xiaolong Zheng, Daniel Zeng, Fei-Yue Wang

Published in: Information Systems Frontiers | Issue 5/2015

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Abstract

The theory of social balance, also called structural balance, is first proposed by Heider in 1940s, which is utilized to describe the potential social dynamics process. This theory is of great importance in sociology, computer science, psychology and other disciplines where social systems can be represented as signed networks. The social balance problem is hard but very interesting. It has attracted many researchers from various fields working on it over the past few years. Many significant theories and approaches have been developed and now exhibit tremendous potential for future applications. A comprehensive review of these existing studies can provide us significant insights into understanding the dynamic patterns of social systems. Yet to our investigation, existing studies have not done this, especially from a dynamical perspective. In this paper, we make an attempt towards conducting a brief survey of these scientific activities on social balance. Our efforts aim to review what has been done so far in this evolving area. We firstly introduce the fundamental concepts and significant properties of social balance. Then we summarize the existing balance measures and present detecting/partitioning algorithms, as well as important empirical investigations in both physical world and cyberspace. We next mainly focus on describing and comparing the fundamental mechanisms of the dynamics models. Several existing problems not yet satisfactorily solved in this area are also discussed.

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Literature
go back to reference Abell, P. (1968). Structural balance in dynamic structures. Sociology, 2, 333–352.CrossRef Abell, P. (1968). Structural balance in dynamic structures. Sociology, 2, 333–352.CrossRef
go back to reference Abell, P., & Ludwig, M. (2009). Structural balance: A dynamic perspective. Journal of Mathematical Sociology, 33, 129–155.CrossRef Abell, P., & Ludwig, M. (2009). Structural balance: A dynamic perspective. Journal of Mathematical Sociology, 33, 129–155.CrossRef
go back to reference Abramson, G., & Kuperman, M. (2001). Social games in a social network. Physical Review E, 63, 030901.CrossRef Abramson, G., & Kuperman, M. (2001). Social games in a social network. Physical Review E, 63, 030901.CrossRef
go back to reference Albert, R., & Barabási, A. L. (2002). Statistical mechanics of complex networks. Reviews of Modern Physics, 74, 47.CrossRef Albert, R., & Barabási, A. L. (2002). Statistical mechanics of complex networks. Reviews of Modern Physics, 74, 47.CrossRef
go back to reference Altafini, C. (2012). Dynamics of opinion forming in structurally balanced social networks. Preprint. Altafini, C. (2012). Dynamics of opinion forming in structurally balanced social networks. Preprint.
go back to reference Antal, T., Krapivsky, P. L., & Redner, S. (2005). Dynamics of social balance on networks. Physical Review E, 72, 036121.CrossRef Antal, T., Krapivsky, P. L., & Redner, S. (2005). Dynamics of social balance on networks. Physical Review E, 72, 036121.CrossRef
go back to reference Antal, T., Krapivsky, P. L., & Redner, S. (2006). Social balance on networks: The dynamics of friendship and enmity. Physica D: Nonlinear Phenomena, 224, 130–136.CrossRef Antal, T., Krapivsky, P. L., & Redner, S. (2006). Social balance on networks: The dynamics of friendship and enmity. Physica D: Nonlinear Phenomena, 224, 130–136.CrossRef
go back to reference Aronson, E., & Cope, V. (1968). My enemy’s enemy is my friend. Journal of Personality and Social Psychology, 8, 8–12.CrossRef Aronson, E., & Cope, V. (1968). My enemy’s enemy is my friend. Journal of Personality and Social Psychology, 8, 8–12.CrossRef
go back to reference Auster, C. J. (1980). Balance theory and other extra-balance properties: An application to fairy tales. Psychological Reports, 47, 183–188.CrossRef Auster, C. J. (1980). Balance theory and other extra-balance properties: An application to fairy tales. Psychological Reports, 47, 183–188.CrossRef
go back to reference Axelrod, R., & Bennett, D. S. (1993). A landscape theory of aggregation. British Journal of Political Science, 23, 211–233.CrossRef Axelrod, R., & Bennett, D. S. (1993). A landscape theory of aggregation. British Journal of Political Science, 23, 211–233.CrossRef
go back to reference Axelrod, R., Mitchell, W., Thomas, R. E., Bennett, D. S., & Bruderer, E. (1995). Coalition formation in standard-setting alliances. Management Science, 41, 1493–1508.CrossRef Axelrod, R., Mitchell, W., Thomas, R. E., Bennett, D. S., & Bruderer, E. (1995). Coalition formation in standard-setting alliances. Management Science, 41, 1493–1508.CrossRef
go back to reference Ba, S., Whinston, A., & Zhang, H. (2000). The dynamics of the electronic market: An evolutionary game approach. Information Systems Frontiers, 2, 31–40.CrossRef Ba, S., Whinston, A., & Zhang, H. (2000). The dynamics of the electronic market: An evolutionary game approach. Information Systems Frontiers, 2, 31–40.CrossRef
go back to reference Biha, M. D., & Meurs, M.-J. (2011). An exact algorithm for solving the vertex separator problem. Journal of Global Optimization, 49, 425–434.CrossRef Biha, M. D., & Meurs, M.-J. (2011). An exact algorithm for solving the vertex separator problem. Journal of Global Optimization, 49, 425–434.CrossRef
go back to reference Binder, K., & Young, A. P. (1986). Spin glasses: Experimental facts, theoretical concepts, and open questions. Reviews of Modern Physics, 58, 801–976.CrossRef Binder, K., & Young, A. P. (1986). Spin glasses: Experimental facts, theoretical concepts, and open questions. Reviews of Modern Physics, 58, 801–976.CrossRef
go back to reference Borgatti, S. P., Mehra, A., Brass, D. J., & Labianca, G. (2009). Network analysis in the social sciences. Science, 323, 892–895.CrossRef Borgatti, S. P., Mehra, A., Brass, D. J., & Labianca, G. (2009). Network analysis in the social sciences. Science, 323, 892–895.CrossRef
go back to reference Brzozowski, M.J., Hogg, T., Szabo, G. (2008). Friends and foes: Ideological social networking. Presented at the Proceedings of the twenty-sixth annual SIGCHI conference on Human factors in computing systems, Florence, Italy. Brzozowski, M.J., Hogg, T., Szabo, G. (2008). Friends and foes: Ideological social networking. Presented at the Proceedings of the twenty-sixth annual SIGCHI conference on Human factors in computing systems, Florence, Italy.
go back to reference Burke, M., Kraut, R. (2008). Mopping up: Modeling Wikipedia promotion decisions. Presented at the Proceedings of the 2008 ACM conference on Computer supported cooperative work, San Diego, CA, USA. Burke, M., Kraut, R. (2008). Mopping up: Modeling Wikipedia promotion decisions. Presented at the Proceedings of the 2008 ACM conference on Computer supported cooperative work, San Diego, CA, USA.
go back to reference Carrington, P., Scott, J., & Wasserman, S. (2005). Models and methods in social network analysis. Cambridge: Cambridge University Press.CrossRef Carrington, P., Scott, J., & Wasserman, S. (2005). Models and methods in social network analysis. Cambridge: Cambridge University Press.CrossRef
go back to reference Cartwright, D., & Gleason, T. C. (1966). The number of paths and cycles in a digraph. Psychometrika, 31, 179–199.CrossRef Cartwright, D., & Gleason, T. C. (1966). The number of paths and cycles in a digraph. Psychometrika, 31, 179–199.CrossRef
go back to reference Cartwright, D., & Harary, F. (1956). Structural balance: A generalization of Heider’s theory. Psychological Review, 63, 277–293.CrossRef Cartwright, D., & Harary, F. (1956). Structural balance: A generalization of Heider’s theory. Psychological Review, 63, 277–293.CrossRef
go back to reference Castellano, C., Fortunato, S., & Loreto, V. (2009). Statistical physics of social dynamics. Reviews of Modern Physics, 81, 591–646.CrossRef Castellano, C., Fortunato, S., & Loreto, V. (2009). Statistical physics of social dynamics. Reviews of Modern Physics, 81, 591–646.CrossRef
go back to reference Cheng, H., Zhou, Y., & Yu, J. X. (2011). Clustering large attributed graphs: A balance between structural and attribute similarities. ACM Transactions on Knowledge Discovery from Data, 5, 1–33.CrossRef Cheng, H., Zhou, Y., & Yu, J. X. (2011). Clustering large attributed graphs: A balance between structural and attribute similarities. ACM Transactions on Knowledge Discovery from Data, 5, 1–33.CrossRef
go back to reference Costa, L. D. F., Oliveira, O., Travieso, G., Rodrigues, F. A., Villas Boas, P., Antiqueira, L., et al. (2011). Analyzing and modeling real-world phenomena with complex networks: A survey of applications. Advances in Physics, 60, 329–412.CrossRef Costa, L. D. F., Oliveira, O., Travieso, G., Rodrigues, F. A., Villas Boas, P., Antiqueira, L., et al. (2011). Analyzing and modeling real-world phenomena with complex networks: A survey of applications. Advances in Physics, 60, 329–412.CrossRef
go back to reference Cui, K., Zheng, X., Zeng, D.D., Zhang, Z., Luo, C., He, S. (2013). An empirical study of information diffusion in micro-blogging systems during emergency events. In: Web-age information management (pp. 140–151). Qinhuangdao, China. Cui, K., Zheng, X., Zeng, D.D., Zhang, Z., Luo, C., He, S. (2013). An empirical study of information diffusion in micro-blogging systems during emergency events. In: Web-age information management (pp. 140–151). Qinhuangdao, China.
go back to reference Cui, K., Zheng, X., Wen, D., & Zhao, X. (2013b). Researches and applications of computational experiments. Acta Automatica Sinica, 39, 1157–1169.CrossRef Cui, K., Zheng, X., Wen, D., & Zhao, X. (2013b). Researches and applications of computational experiments. Acta Automatica Sinica, 39, 1157–1169.CrossRef
go back to reference Daniel, G., Enrique, G.-A., Conrado, M., Guillermo, O., del Mónica, P., & Martha, S. (2008). The cohesiveness of subgroups in social networks: A view from game theory. Annals of Operations Research, 158, 33–46.CrossRef Daniel, G., Enrique, G.-A., Conrado, M., Guillermo, O., del Mónica, P., & Martha, S. (2008). The cohesiveness of subgroups in social networks: A view from game theory. Annals of Operations Research, 158, 33–46.CrossRef
go back to reference Davis, J. A. (1963). Structural balance, mechanical solidarity, and interpersonal relations. American Journal of Sociology, 68, 444–462.CrossRef Davis, J. A. (1963). Structural balance, mechanical solidarity, and interpersonal relations. American Journal of Sociology, 68, 444–462.CrossRef
go back to reference Davis, J. A. (1967). Clustering and structural balance in graphs. Human Relations, 20, 181–187.CrossRef Davis, J. A. (1967). Clustering and structural balance in graphs. Human Relations, 20, 181–187.CrossRef
go back to reference Davis, J. A. (1977). Sociometric triads as multi-variate systems. Journal of Mathematical Sociology, 5, 41–59.CrossRef Davis, J. A. (1977). Sociometric triads as multi-variate systems. Journal of Mathematical Sociology, 5, 41–59.CrossRef
go back to reference Davis, J. A. (1979). The Davis/Holland/Leinhardt studies: An overview. New York: Academic Press. Davis, J. A. (1979). The Davis/Holland/Leinhardt studies: An overview. New York: Academic Press.
go back to reference Davol, S. H. (1959). An empirical test of structural balance in sociometric triads. Journal of Abnormal and Social Psychology, 59, 393–398.CrossRef Davol, S. H. (1959). An empirical test of structural balance in sociometric triads. Journal of Abnormal and Social Psychology, 59, 393–398.CrossRef
go back to reference Doreian, P., & Krackhardt, D. (2001). Pre-transitive balance mechanisms for signed networks. Journal of Mathematical Sociology, 25, 43–67.CrossRef Doreian, P., & Krackhardt, D. (2001). Pre-transitive balance mechanisms for signed networks. Journal of Mathematical Sociology, 25, 43–67.CrossRef
go back to reference Doreian, P., & Mrvar, A. (1996). A partitioning approach to structural balance. Social Networks, 18, 149–168.CrossRef Doreian, P., & Mrvar, A. (1996). A partitioning approach to structural balance. Social Networks, 18, 149–168.CrossRef
go back to reference Doreian, P., & Mrvar, A. (2009). Partitioning signed social networks. Social Networks, 31, 1–11.CrossRef Doreian, P., & Mrvar, A. (2009). Partitioning signed social networks. Social Networks, 31, 1–11.CrossRef
go back to reference DuBois, T., Golbeck, J., Srinivasan, A. (2011). Predicting trust and distrust in social networks. In: Privacy, security, risk and trust (passat), 2011 I.E. Third International Conference on and 2011 I.E. Third International Conference on Social Computing (Socialcom) (pp. 418–424. DuBois, T., Golbeck, J., Srinivasan, A. (2011). Predicting trust and distrust in social networks. In: Privacy, security, risk and trust (passat), 2011 I.E. Third International Conference on and 2011 I.E. Third International Conference on Social Computing (Socialcom) (pp. 418–424.
go back to reference Eagle, N., Pentland, A., & Lazer, D. (2009). Inferring friendship network structure by using mobile phone data. Proceedings of the National Academy of Sciences, 106, 15274–15278.CrossRef Eagle, N., Pentland, A., & Lazer, D. (2009). Inferring friendship network structure by using mobile phone data. Proceedings of the National Academy of Sciences, 106, 15274–15278.CrossRef
go back to reference Easley, D., & Kleinberg, J. (2010). Networks, crowds, and markets: Reasoning about a highly connected world. Cambridge: Cambridge University Press.CrossRef Easley, D., & Kleinberg, J. (2010). Networks, crowds, and markets: Reasoning about a highly connected world. Cambridge: Cambridge University Press.CrossRef
go back to reference Facchetti, G., Iacono, G., & Altafini, C. (2011). Computing global structural balance in large-scale signed social networks. Proceedings of the National Academy of Sciences, 108, 20953–20958.CrossRef Facchetti, G., Iacono, G., & Altafini, C. (2011). Computing global structural balance in large-scale signed social networks. Proceedings of the National Academy of Sciences, 108, 20953–20958.CrossRef
go back to reference Fang, S., Xu, L., Zhu, Y., Liu, Y., Liu, Z., Pei, H., et al. (2013). An integrated information system for snowmelt flood early-warning based on internet of things. Information Systems Frontiers 1–15. Fang, S., Xu, L., Zhu, Y., Liu, Y., Liu, Z., Pei, H., et al. (2013). An integrated information system for snowmelt flood early-warning based on internet of things. Information Systems Frontiers 1–15.
go back to reference Feige, U., Hajiaghayi, M., Lee, J.R. (2005) Improved approximation algorithms for minimum-weight vertex separators. Presented at the Proceedings of the thirty-seventh annual ACM symposium on Theory of computing, Baltimore, MD, USA. Feige, U., Hajiaghayi, M., Lee, J.R. (2005) Improved approximation algorithms for minimum-weight vertex separators. Presented at the Proceedings of the thirty-seventh annual ACM symposium on Theory of computing, Baltimore, MD, USA.
go back to reference Fei-Yue, W. (2010). The emergence of intelligent enterprises: From CPS to CPSS. IEEE Intelligent Systems, 25, 85–88.CrossRef Fei-Yue, W. (2010). The emergence of intelligent enterprises: From CPS to CPSS. IEEE Intelligent Systems, 25, 85–88.CrossRef
go back to reference Fowler, J. H., & Christakis, N. A. (2010). Cooperative behavior cascades in human social networks. Proceedings of the National Academy of Sciences, 107, 5334–5338.CrossRef Fowler, J. H., & Christakis, N. A. (2010). Cooperative behavior cascades in human social networks. Proceedings of the National Academy of Sciences, 107, 5334–5338.CrossRef
go back to reference Frank, O., & Harary, F. (1979). Balance in stochastic signed graphs. Social Networks, 2, 155–163.CrossRef Frank, O., & Harary, F. (1979). Balance in stochastic signed graphs. Social Networks, 2, 155–163.CrossRef
go back to reference Friedkin, N. E. (2004). Social cohesion. Annual Review of Sociology, 30, 409–425.CrossRef Friedkin, N. E. (2004). Social cohesion. Annual Review of Sociology, 30, 409–425.CrossRef
go back to reference Galeotti, A., Goyal, S., Jackson, M. O., Vega-Redondo, F., & Yariv, L. (2010). Network games. The Review of Economic Studies, 77, 218–244.CrossRef Galeotti, A., Goyal, S., Jackson, M. O., Vega-Redondo, F., & Yariv, L. (2010). Network games. The Review of Economic Studies, 77, 218–244.CrossRef
go back to reference Gill, M. (1981). A note concerning Acharya’s conjecture on a spectral measure of structural balance in a social system. In S. Rao (Ed.), Combinatorics and graph theory (Vol. 885, pp. 266–271). Berlin: Springer.CrossRef Gill, M. (1981). A note concerning Acharya’s conjecture on a spectral measure of structural balance in a social system. In S. Rao (Ed.), Combinatorics and graph theory (Vol. 885, pp. 266–271). Berlin: Springer.CrossRef
go back to reference Glauber, R. J. (1963). Time-dependent statistics of the Ising model. Journal of Mathematical Physics, 4, 294–307.CrossRef Glauber, R. J. (1963). Time-dependent statistics of the Ising model. Journal of Mathematical Physics, 4, 294–307.CrossRef
go back to reference Gnyawali, D. R., & Madhavan, R. (2001). Cooperative networks and competitive dynamics: A structural embeddedness perspective. The Academy of Management Review, 26, 431–445. Gnyawali, D. R., & Madhavan, R. (2001). Cooperative networks and competitive dynamics: A structural embeddedness perspective. The Academy of Management Review, 26, 431–445.
go back to reference Guha, R., Kumar, R., Raghavan, P., Tomkins, A. (2004). Propagation of trust and distrust. Presented at the Proceedings of the 13th international conference on World Wide Web, New York, NY, USA. Guha, R., Kumar, R., Raghavan, P., Tomkins, A. (2004). Propagation of trust and distrust. Presented at the Proceedings of the 13th international conference on World Wide Web, New York, NY, USA.
go back to reference Hanaki, N., Peterhansl, A., Dodds, P. S., & Watts, D. J. (2007). Cooperation in evolving social networks. Management Science, 53, 1036–1050.CrossRef Hanaki, N., Peterhansl, A., Dodds, P. S., & Watts, D. J. (2007). Cooperation in evolving social networks. Management Science, 53, 1036–1050.CrossRef
go back to reference Harary, F. (1953). On the notion of balance of a signed graph. Michigan Mathematical Journal, 2, 143–146.CrossRef Harary, F. (1953). On the notion of balance of a signed graph. Michigan Mathematical Journal, 2, 143–146.CrossRef
go back to reference Harary, F. (1955). On local balance and N-balance in signed graphs. Michigan Mathematical Journal, 3, 37–41.CrossRef Harary, F. (1955). On local balance and N-balance in signed graphs. Michigan Mathematical Journal, 3, 37–41.CrossRef
go back to reference Harary, F. (1959). On the measurement of structural balance. Behavioral Science, 4, 316–323.CrossRef Harary, F. (1959). On the measurement of structural balance. Behavioral Science, 4, 316–323.CrossRef
go back to reference Harary, F. (1960). A matrix criterion for structural balance. Naval Research Logistics Quarterly, 7, 195–199.CrossRef Harary, F. (1960). A matrix criterion for structural balance. Naval Research Logistics Quarterly, 7, 195–199.CrossRef
go back to reference Harary, F. (1961). A structural analysis of the situation in the Middle East in 1956. Journal of Conflict Resolution, 5, 167–178.CrossRef Harary, F. (1961). A structural analysis of the situation in the Middle East in 1956. Journal of Conflict Resolution, 5, 167–178.CrossRef
go back to reference Harary, F. (1966). Structural study of ‘a severed head’. Psychological Reports, 19, 473–474.CrossRef Harary, F. (1966). Structural study of ‘a severed head’. Psychological Reports, 19, 473–474.CrossRef
go back to reference Harary, F., & Kabell, J. A. (1980). A simple algorithm to detect balance in signed graphs. Mathematical Social Sciences, 1, 131–136.CrossRef Harary, F., & Kabell, J. A. (1980). A simple algorithm to detect balance in signed graphs. Mathematical Social Sciences, 1, 131–136.CrossRef
go back to reference Harary, F., & Kommel, H. J. (1979). Matrix measures for transitivity and balance. Journal of Mathematical Sociology, 6, 199–210.CrossRef Harary, F., & Kommel, H. J. (1979). Matrix measures for transitivity and balance. Journal of Mathematical Sociology, 6, 199–210.CrossRef
go back to reference He, S., Zheng, X., Zeng, D., Cui, K., Zhang, Z., Luo, C. (2013). Identifying peer influence in online social networks using transfer entropy. In: Pacific Asia Workshop on Intelligence and Security Informatics (PAISI 2013) (pp. 47–61). He, S., Zheng, X., Zeng, D., Cui, K., Zhang, Z., Luo, C. (2013). Identifying peer influence in online social networks using transfer entropy. In: Pacific Asia Workshop on Intelligence and Security Informatics (PAISI 2013) (pp. 47–61).
go back to reference Heider, F. (1944). Social perception and phenomenal causality. Psychological Review, 51, 358–374.CrossRef Heider, F. (1944). Social perception and phenomenal causality. Psychological Review, 51, 358–374.CrossRef
go back to reference Heider, F. (1946). Attitudes and cognitive organization. The Journal of Psychology, 21, 107–112.CrossRef Heider, F. (1946). Attitudes and cognitive organization. The Journal of Psychology, 21, 107–112.CrossRef
go back to reference Heider, F. (1958). The psychology of interpersonal relations. New York: Wiley.CrossRef Heider, F. (1958). The psychology of interpersonal relations. New York: Wiley.CrossRef
go back to reference Henley, N. M., Horsfall, R. B., & De Soto, C. B. (1969). Goodness of figure and social structure. Psychological Review, 76, 194–204.CrossRef Henley, N. M., Horsfall, R. B., & De Soto, C. B. (1969). Goodness of figure and social structure. Psychological Review, 76, 194–204.CrossRef
go back to reference Hummon, N. P., & Doreian, P. (2003). Some dynamics of social balance processes: Bringing Heider back into balance theory. Social Networks, 25, 17–49.CrossRef Hummon, N. P., & Doreian, P. (2003). Some dynamics of social balance processes: Bringing Heider back into balance theory. Social Networks, 25, 17–49.CrossRef
go back to reference Iacono, G., Ramezani, F., Soranzo, N., & Altafini, C. (2010). Determining the distance to monotonicity of a biological network: A graph-theoretical approach. IET Systems Biology, 4, 223–235.CrossRef Iacono, G., Ramezani, F., Soranzo, N., & Altafini, C. (2010). Determining the distance to monotonicity of a biological network: A graph-theoretical approach. IET Systems Biology, 4, 223–235.CrossRef
go back to reference Istrate, G. (2008). On the dynamics of social balance on general networks (with an application to XOR-SAT). arXiv:0811.0381. Istrate, G. (2008). On the dynamics of social balance on general networks (with an application to XOR-SAT). arXiv:0811.0381.
go back to reference Istrate, G. (2009). On the dynamics of social balance on general networks (with an application to XOR-SAT). Fundamenta Informaticae, 91, 341–356. Istrate, G. (2009). On the dynamics of social balance on general networks (with an application to XOR-SAT). Fundamenta Informaticae, 91, 341–356.
go back to reference Jackson, M. O. (1996). A strategic model of social and economic networks. Journal of Economic Theory, 71, 44–74.CrossRef Jackson, M. O. (1996). A strategic model of social and economic networks. Journal of Economic Theory, 71, 44–74.CrossRef
go back to reference Jackson, M. O. (2008). Social and economic networks. Princeton: Princeton University Press. Jackson, M. O. (2008). Social and economic networks. Princeton: Princeton University Press.
go back to reference Jackson, M. O., & Zenou, Y. (2014). Games on networks (Vol. 4). Amsterdam: Elsevier Science. Jackson, M. O., & Zenou, Y. (2014). Games on networks (Vol. 4). Amsterdam: Elsevier Science.
go back to reference Jung, J., Chang, Y.-S., Liu, Y., & Wu, C.-C. (2012). Advances in intelligent grid and cloud computing. Information Systems Frontiers, 14, 823–825.CrossRef Jung, J., Chang, Y.-S., Liu, Y., & Wu, C.-C. (2012). Advances in intelligent grid and cloud computing. Information Systems Frontiers, 14, 823–825.CrossRef
go back to reference Kakade, S., Kearns, M., Ortiz, L., Pemantle, R., & Suri, S. (2005). Economic properties of social networks. Advances in Neural Information Processing Systems, 17, 633–640. Kakade, S., Kearns, M., Ortiz, L., Pemantle, R., & Suri, S. (2005). Economic properties of social networks. Advances in Neural Information Processing Systems, 17, 633–640.
go back to reference Katai, O., & Iwai, S. (1978). On the characterization of balancing processes of social systems and the derivation of the minimal balancing processes. IEEE Transactions on Systems, Man, and Cybernetics, 8, 337–348.CrossRef Katai, O., & Iwai, S. (1978). On the characterization of balancing processes of social systems and the derivation of the minimal balancing processes. IEEE Transactions on Systems, Man, and Cybernetics, 8, 337–348.CrossRef
go back to reference Kim, C.-H. (2007). Explaining interstate trust/distrust in triadic relations. International Interactions, 33, 423–439.CrossRef Kim, C.-H. (2007). Explaining interstate trust/distrust in triadic relations. International Interactions, 33, 423–439.CrossRef
go back to reference Kim, M., & Candan, K. S. (2012). SBV-cut: Vertex-cut based graph partitioning using structural balance vertices. Data & Knowledge Engineering, 72, 285–303.CrossRef Kim, M., & Candan, K. S. (2012). SBV-cut: Vertex-cut based graph partitioning using structural balance vertices. Data & Knowledge Engineering, 72, 285–303.CrossRef
go back to reference King, M. G. (1964). Structural balance tension, and segregation in a university group. Human Relations, 17, 221–225.CrossRef King, M. G. (1964). Structural balance tension, and segregation in a university group. Human Relations, 17, 221–225.CrossRef
go back to reference Kogan, N., & Tagiuri, R. (1958). Interpersonal preference and cognitive organization. Journal of Abnormal and Social Psychology, 56, 113–116.CrossRef Kogan, N., & Tagiuri, R. (1958). Interpersonal preference and cognitive organization. Journal of Abnormal and Social Psychology, 56, 113–116.CrossRef
go back to reference Kulakowski, K. (2007). Some recent attempts to simulate the Heider balance problem. Computing in Science and Engineering, 9, 80–85.CrossRef Kulakowski, K. (2007). Some recent attempts to simulate the Heider balance problem. Computing in Science and Engineering, 9, 80–85.CrossRef
go back to reference Kulakowski, K., Gawronski, P., & Gronek, P. (2005). The Heider balance-a continuous approach. International Journal of Modern Physics C, 16, 707–716.CrossRef Kulakowski, K., Gawronski, P., & Gronek, P. (2005). The Heider balance-a continuous approach. International Journal of Modern Physics C, 16, 707–716.CrossRef
go back to reference Kunegis, J., Lommatzsch, A., Bauckhage, C. (2009). The slashdot zoo: Mining a social network with negative edges. Presented at the Proceedings of the 18th international conference on World wide web, Madrid, Spain. Kunegis, J., Lommatzsch, A., Bauckhage, C. (2009). The slashdot zoo: Mining a social network with negative edges. Presented at the Proceedings of the 18th international conference on World wide web, Madrid, Spain.
go back to reference Kunegis, J., Schmidt, S., Lommatzsch, A., Lerner, J., De Luca, E.W., Albayrak, L.S. (2010). Spectral analysis of signed graphs for clustering, prediction and visualization. In: Proceedings of the SIAM International Conference on Data Mining, Columbus, Ohio, USA (pp. 559–570). Kunegis, J., Schmidt, S., Lommatzsch, A., Lerner, J., De Luca, E.W., Albayrak, L.S. (2010). Spectral analysis of signed graphs for clustering, prediction and visualization. In: Proceedings of the SIAM International Conference on Data Mining, Columbus, Ohio, USA (pp. 559–570).
go back to reference Labianca, G., Brass, D. J., & Gray, B. (1998). Social networks and perceptions of intergroup conflict: The role of negative relationships and third parties. The Academy of Management Journal, 41, 55–67.CrossRef Labianca, G., Brass, D. J., & Gray, B. (1998). Social networks and perceptions of intergroup conflict: The role of negative relationships and third parties. The Academy of Management Journal, 41, 55–67.CrossRef
go back to reference Lazer, D., Pentland, A., Adamic, L., Aral, S., Barabási, A.-L., Brewer, D., et al. (2009). Computational social science. Science, 323, 721–723.CrossRef Lazer, D., Pentland, A., Adamic, L., Aral, S., Barabási, A.-L., Brewer, D., et al. (2009). Computational social science. Science, 323, 721–723.CrossRef
go back to reference Lerner, S. (2008). The enemy of my enemy: The alarming convergence of militant Islam and the extreme right. Shofar: An Interdisciplinary Journal of Jewish Studies, 27, 138–141.CrossRef Lerner, S. (2008). The enemy of my enemy: The alarming convergence of militant Islam and the extreme right. Shofar: An Interdisciplinary Journal of Jewish Studies, 27, 138–141.CrossRef
go back to reference Leskovec, J., Huttenlocher, D., Kleinberg, J. (2010). Signed networks in social media. Presented at the Proceedings of the 28th international conference on Human factors in computing systems, Atlanta, Georgia, USA. Leskovec, J., Huttenlocher, D., Kleinberg, J. (2010). Signed networks in social media. Presented at the Proceedings of the 28th international conference on Human factors in computing systems, Atlanta, Georgia, USA.
go back to reference Leskovec, J., Huttenlocher, D., Kleinberg, J. (2010) Predicting positive and negative links in online social networks. Presented at the Proceedings of the 19th international conference on World Wide Web, Raleigh, North Carolina, USA. Leskovec, J., Huttenlocher, D., Kleinberg, J. (2010) Predicting positive and negative links in online social networks. Presented at the Proceedings of the 19th international conference on World Wide Web, Raleigh, North Carolina, USA.
go back to reference Li, Y., Chen, W., Wang, Y., Zhang, Z.-L. (2013). Influence diffusion dynamics and influence maximization in social networks with friend and foe relationships. Presented at the Proceedings of the sixth ACM international conference on Web search and data mining, Rome, Italy Li, Y., Chen, W., Wang, Y., Zhang, Z.-L. (2013). Influence diffusion dynamics and influence maximization in social networks with friend and foe relationships. Presented at the Proceedings of the sixth ACM international conference on Web search and data mining, Rome, Italy
go back to reference Liang, Y., Zheng, X., Zeng, D.D., Zhou, X., Leischow, S. (2013). An Empirical analysis of social interaction on tobacco-oriented social networks. In: International Conference for Smart Health (ICSH) (pp. 19–24). Liang, Y., Zheng, X., Zeng, D.D., Zhou, X., Leischow, S. (2013). An Empirical analysis of social interaction on tobacco-oriented social networks. In: International Conference for Smart Health (ICSH) (pp. 19–24).
go back to reference Ludwig, M., & Abell, P. (2007). An evolutionary model of social networks. The European Physical Journal B - Condensed Matter and Complex Systems, 58, 97–105.CrossRef Ludwig, M., & Abell, P. (2007). An evolutionary model of social networks. The European Physical Journal B - Condensed Matter and Complex Systems, 58, 97–105.CrossRef
go back to reference Malekzadeh, M., Fazli, M., Khalilabadi, P.J., Rabiee, H.R., Safari, M. (2011). Social balance and signed network formation games. Presented at the SNA-KDD Workshop ‘11, San Diego CA, USA. Malekzadeh, M., Fazli, M., Khalilabadi, P.J., Rabiee, H.R., Safari, M. (2011). Social balance and signed network formation games. Presented at the SNA-KDD Workshop ‘11, San Diego CA, USA.
go back to reference Martens, B., & Teuteberg, F. (2012). Decision-making in cloud computing environments: A cost and risk based approach. Information Systems Frontiers, 14, 871–893.CrossRef Martens, B., & Teuteberg, F. (2012). Decision-making in cloud computing environments: A cost and risk based approach. Information Systems Frontiers, 14, 871–893.CrossRef
go back to reference Marvel, S. A., Strogatz, S. H., & Kleinberg, J. M. (2009). Energy landscape of social balance. Physical Review Letters, 103, 198701.CrossRef Marvel, S. A., Strogatz, S. H., & Kleinberg, J. M. (2009). Energy landscape of social balance. Physical Review Letters, 103, 198701.CrossRef
go back to reference Marvel, S. A., Kleinberg, J., Kleinberg, R. D., & Strogatz, S. H. (2011). Continuous-time model of structural balance. Proceedings of the National Academy of Sciences, 108, 1771–1776.CrossRef Marvel, S. A., Kleinberg, J., Kleinberg, R. D., & Strogatz, S. H. (2011). Continuous-time model of structural balance. Proceedings of the National Academy of Sciences, 108, 1771–1776.CrossRef
go back to reference Mazhelis, O., & Tyrväinen, P. (2012). Economic aspects of hybrid cloud infrastructure: User organization perspective. Information Systems Frontiers, 14, 845–869.CrossRef Mazhelis, O., & Tyrväinen, P. (2012). Economic aspects of hybrid cloud infrastructure: User organization perspective. Information Systems Frontiers, 14, 845–869.CrossRef
go back to reference McDonald, H. B., & Rosecrance, R. (1985). Alliance and structural balance in the international system. Journal of Conflict Resolution, 29, 57–82.CrossRef McDonald, H. B., & Rosecrance, R. (1985). Alliance and structural balance in the international system. Journal of Conflict Resolution, 29, 57–82.CrossRef
go back to reference McPherson, J. M., Popielarz, P. A., & Drobnic, S. (1992). Social networks and organizational dynamics. American Sociological Review, 57, 153–170.CrossRef McPherson, J. M., Popielarz, P. A., & Drobnic, S. (1992). Social networks and organizational dynamics. American Sociological Review, 57, 153–170.CrossRef
go back to reference Miller, H., & Geller, D. (1972). Structural balance in dyads. Journal of Personality and Social Psychology, 21, 135–138.CrossRef Miller, H., & Geller, D. (1972). Structural balance in dyads. Journal of Personality and Social Psychology, 21, 135–138.CrossRef
go back to reference Moore, M. (1978). An international application of Heider’s balance theory. European Journal of Social Psychology, 8, 401–405.CrossRef Moore, M. (1978). An international application of Heider’s balance theory. European Journal of Social Psychology, 8, 401–405.CrossRef
go back to reference Moore, M. (1979). Structural balance and international relations. European Journal of Social Psychology, 9, 323–326.CrossRef Moore, M. (1979). Structural balance and international relations. European Journal of Social Psychology, 9, 323–326.CrossRef
go back to reference Morrissette, J. O. (1958). An experimental study of the theory of structural balance. Human Relations, 11, 239–254.CrossRef Morrissette, J. O. (1958). An experimental study of the theory of structural balance. Human Relations, 11, 239–254.CrossRef
go back to reference Morrissette, J. O., Jahnke, J. C., & Baker, K. (1966). Structural balance: A test of the completeness hypothesis. Behavioral Science, 11, 121–125.CrossRef Morrissette, J. O., Jahnke, J. C., & Baker, K. (1966). Structural balance: A test of the completeness hypothesis. Behavioral Science, 11, 121–125.CrossRef
go back to reference Morrissette, J. O., Jahnke, J. C., Baker, K., & Rohrman, N. (1967). Degree of structural balance and group effectiveness. Organizational Behavior and Human Performance, 2, 383–393.CrossRef Morrissette, J. O., Jahnke, J. C., Baker, K., & Rohrman, N. (1967). Degree of structural balance and group effectiveness. Organizational Behavior and Human Performance, 2, 383–393.CrossRef
go back to reference Newcomb, T. M. (1956). The prediction of interpersonal attraction. American Psychologist, 11, 575–586.CrossRef Newcomb, T. M. (1956). The prediction of interpersonal attraction. American Psychologist, 11, 575–586.CrossRef
go back to reference Newcomb, T. M. (1961). The acquaintance process. New York: Holt, Rinehart & Winston.CrossRef Newcomb, T. M. (1961). The acquaintance process. New York: Holt, Rinehart & Winston.CrossRef
go back to reference Newcomb, T. M. (1981). Heiderian balance as a group phenomenon. Journal of Personality and Social Psychology, 40, 862–867.CrossRef Newcomb, T. M. (1981). Heiderian balance as a group phenomenon. Journal of Personality and Social Psychology, 40, 862–867.CrossRef
go back to reference Newman, M. E. J. (2003). The structure and function of complex networks. SIAM Review, 45, 167.CrossRef Newman, M. E. J. (2003). The structure and function of complex networks. SIAM Review, 45, 167.CrossRef
go back to reference Nooy, W. D. (1999). The sign of affection: Balance-theoretic models and incomplete signed digraphs. Social Networks, 21, 269–286.CrossRef Nooy, W. D. (1999). The sign of affection: Balance-theoretic models and incomplete signed digraphs. Social Networks, 21, 269–286.CrossRef
go back to reference Norman, R. Z., & Roberts, F. S. (1972). A derivation of a measure of relative balance for social structures and a characterization of extensive ratio systems. Journal of Mathematical Psychology, 9, 66–91.CrossRef Norman, R. Z., & Roberts, F. S. (1972). A derivation of a measure of relative balance for social structures and a characterization of extensive ratio systems. Journal of Mathematical Psychology, 9, 66–91.CrossRef
go back to reference Notsu, A., Ichihashi, H., & Honda, K. (2006). Agent simulation based on perceptual balance. IJCSNS International Journal of Computer Science and Network Security, 6, 50–54. Notsu, A., Ichihashi, H., & Honda, K. (2006). Agent simulation based on perceptual balance. IJCSNS International Journal of Computer Science and Network Security, 6, 50–54.
go back to reference Notsu, A., Honda, K., Ichihashi, H. (2010). Social simulation based on perceptual balance on the influence of communication styles. Presented at the Proceedings of SICE Annual Conference. Notsu, A., Honda, K., Ichihashi, H. (2010). Social simulation based on perceptual balance on the influence of communication styles. Presented at the Proceedings of SICE Annual Conference.
go back to reference Osborne, M. J. (2003). An introduction to game theory. Oxford: Oxford University Press. Osborne, M. J. (2003). An introduction to game theory. Oxford: Oxford University Press.
go back to reference Pelino, V., Maimone, F. (2012). Towards a class of complex networks models for conflict dynamics. Available at: arXiv:1203.1394. Pelino, V., Maimone, F. (2012). Towards a class of complex networks models for conflict dynamics. Available at: arXiv:1203.1394.
go back to reference Radicchi, F., Vilone, D., Yoon, S., & Meyer-Ortmanns, H. (2007). Social balance as a satisfiability problem of computer science. Physical Review E, 75, 026106.CrossRef Radicchi, F., Vilone, D., Yoon, S., & Meyer-Ortmanns, H. (2007). Social balance as a satisfiability problem of computer science. Physical Review E, 75, 026106.CrossRef
go back to reference Romero, D.M., Meeder, B., Barash, V., Kleinberg, J. (2011). Maintaining ties on social media sites: The competing effects of balance, exchange, and betweenness. In: Proceedings of the Fifth International AAAI Conference on Weblogs and Social Media (pp. 606–609). Romero, D.M., Meeder, B., Barash, V., Kleinberg, J. (2011). Maintaining ties on social media sites: The competing effects of balance, exchange, and betweenness. In: Proceedings of the Fifth International AAAI Conference on Weblogs and Social Media (pp. 606–609).
go back to reference Sampson, S.F. (1968). A novitiate in a period of change: An experimental and case study of social relationships. Ph.D., Department of Sociology, Cornell University. Sampson, S.F. (1968). A novitiate in a period of change: An experimental and case study of social relationships. Ph.D., Department of Sociology, Cornell University.
go back to reference Schilling, M. A., & Phelps, C. C. (2007). Interfirm collaboration networks: The impact of large-scale network structure on firm innovation. Management Science, 53, 1113–1126.CrossRef Schilling, M. A., & Phelps, C. C. (2007). Interfirm collaboration networks: The impact of large-scale network structure on firm innovation. Management Science, 53, 1113–1126.CrossRef
go back to reference Sheth, A., Anantharam, P., & Henson, C. (2013). Hysical-cyber-social computing: An early 21st century approach. IEEE Intelligent Systems, 28, 78–82.CrossRef Sheth, A., Anantharam, P., & Henson, C. (2013). Hysical-cyber-social computing: An early 21st century approach. IEEE Intelligent Systems, 28, 78–82.CrossRef
go back to reference Singh, R., Dasgupta, S., Sinha, S. (2013). Extreme variability in convergence to structural balance in frustrated dynamical systems. arXiv, preprint arXiv:1307.8018. Singh, R., Dasgupta, S., Sinha, S. (2013). Extreme variability in convergence to structural balance in frustrated dynamical systems. arXiv, preprint arXiv:1307.8018.
go back to reference Smith, J. M., & Price, G. R. (1973). The logic of animal conflict. Nature, 246, 15–18.CrossRef Smith, J. M., & Price, G. R. (1973). The logic of animal conflict. Nature, 246, 15–18.CrossRef
go back to reference Srinivasan, A. (2011). Local balancing influences global structure in social networks. Proceedings of the National Academy of Sciences, 108, 1751–1752.CrossRef Srinivasan, A. (2011). Local balancing influences global structure in social networks. Proceedings of the National Academy of Sciences, 108, 1751–1752.CrossRef
go back to reference Stix, A. H. (1974). An improved measure of structural balance. Human Relations, 27, 439–455.CrossRef Stix, A. H. (1974). An improved measure of structural balance. Human Relations, 27, 439–455.CrossRef
go back to reference Summers, T. H., & Shames, I. (2013). Active influence in dynamical models of structural balance in social networks. Europhysics Letters, 103, 18001.CrossRef Summers, T. H., & Shames, I. (2013). Active influence in dynamical models of structural balance in social networks. Europhysics Letters, 103, 18001.CrossRef
go back to reference Szabó, G., & Fáth, G. (2007). Evolutionary games on graphs. Physics Reports, 446, 97–216.CrossRef Szabó, G., & Fáth, G. (2007). Evolutionary games on graphs. Physics Reports, 446, 97–216.CrossRef
go back to reference Szell, M., & Thurner, S. (2010). Measuring social dynamics in a massive multiplayer online game. Social Networks, 32, 313–329.CrossRef Szell, M., & Thurner, S. (2010). Measuring social dynamics in a massive multiplayer online game. Social Networks, 32, 313–329.CrossRef
go back to reference Szell, M., Lambiotte, R., & Thurner, S. (2010). Multirelational organization of large-scale social networks in an online world. Proceedings of the National Academy of Sciences, 107, 13636–13641.CrossRef Szell, M., Lambiotte, R., & Thurner, S. (2010). Multirelational organization of large-scale social networks in an online world. Proceedings of the National Academy of Sciences, 107, 13636–13641.CrossRef
go back to reference Tang, J., Zhang, Y., Sun, J., Rao, J., Yu, W., Chen, Y., et al. (2012). Quantitative study of individual emotional states in social networks. IEEE Transactions on Affective Computing, 3, 132–144.CrossRef Tang, J., Zhang, Y., Sun, J., Rao, J., Yu, W., Chen, Y., et al. (2012). Quantitative study of individual emotional states in social networks. IEEE Transactions on Affective Computing, 3, 132–144.CrossRef
go back to reference Taylor, H. F. (1970). Balance in small groups. New York: Van Nostrand Reinhold. Taylor, H. F. (1970). Balance in small groups. New York: Van Nostrand Reinhold.
go back to reference Terzi, E., & Winkler, M. (2011). A spectral algorithm for computing social balance. In A. Frieze, P. Horn, & P. Pralat (Eds.), Algorithms and models for the web graph (Vol. 6732, pp. 1–13). Berlin: Springer.CrossRef Terzi, E., & Winkler, M. (2011). A spectral algorithm for computing social balance. In A. Frieze, P. Horn, & P. Pralat (Eds.), Algorithms and models for the web graph (Vol. 6732, pp. 1–13). Berlin: Springer.CrossRef
go back to reference Thomas, S. (2010). The friend of my enemy is my enemy, the enemy of my enemy is my friend: Axioms for structural balance and bi-polarity. Mathematical Social Sciences, 60, 39–45.CrossRef Thomas, S. (2010). The friend of my enemy is my enemy, the enemy of my enemy is my friend: Axioms for structural balance and bi-polarity. Mathematical Social Sciences, 60, 39–45.CrossRef
go back to reference Toulouse, G. (1977). Theory of the frustration effect in spin glasses I. Communications on Physics, 2, 115. Toulouse, G. (1977). Theory of the frustration effect in spin glasses I. Communications on Physics, 2, 115.
go back to reference Traag, V. A., Van Dooren, P., & De Leenheer, P. (2013). Dynamical models explaining social balance and evolution of cooperation. PLoS ONE, 8, e60063.CrossRef Traag, V. A., Van Dooren, P., & De Leenheer, P. (2013). Dynamical models explaining social balance and evolution of cooperation. PLoS ONE, 8, e60063.CrossRef
go back to reference Van De Rijt, A. (2011). The micro–macro link for the theory of structural balance. Journal of Mathematical Sociology, 35, 94–113.CrossRef Van De Rijt, A. (2011). The micro–macro link for the theory of structural balance. Journal of Mathematical Sociology, 35, 94–113.CrossRef
go back to reference Viktorov, T. (2007). Social and culture dynamics. Sotsiologicheskie issledovaniia 155–155. Viktorov, T. (2007). Social and culture dynamics. Sotsiologicheskie issledovaniia 155–155.
go back to reference Wang, F. (2004). Computational experiments for behavior analysis and decision evaluation in complex systems. Journal of System Simulation, 16, 893–897. Wang, F. (2004). Computational experiments for behavior analysis and decision evaluation in complex systems. Journal of System Simulation, 16, 893–897.
go back to reference Wang, F.-Y. (2007). Toward a paradigm shift in social computing: The ACP approach. IEEE Intelligent Systems, 22, 65–67.CrossRef Wang, F.-Y. (2007). Toward a paradigm shift in social computing: The ACP approach. IEEE Intelligent Systems, 22, 65–67.CrossRef
go back to reference Wang, Z., & Thorngate, W. (2003). Sentiment and social mitosis: Implications of Heider’s balance theory. Journal of Artificial Societies and Social, Simulation, 6. Wang, Z., & Thorngate, W. (2003). Sentiment and social mitosis: Implications of Heider’s balance theory. Journal of Artificial Societies and Social, Simulation, 6.
go back to reference Wang, F.-Y., Carley, K. M., Zeng, D., & Mao, W. (2007). Social computing: From social informatics to social intelligence. IEEE Intelligent Systems, 22, 79–83.CrossRef Wang, F.-Y., Carley, K. M., Zeng, D., & Mao, W. (2007). Social computing: From social informatics to social intelligence. IEEE Intelligent Systems, 22, 79–83.CrossRef
go back to reference Wang, Y., Zeng, D., Cao, Z., Wang, Y., Song, H., Zheng, X. (2011). The impact of community structure of social contact network on epidemic outbreak and effectiveness of non-pharmaceutical interventions. In: Intelligence and security informatics (pp. 108–120). Springer. Wang, Y., Zeng, D., Cao, Z., Wang, Y., Song, H., Zheng, X. (2011). The impact of community structure of social contact network on epidemic outbreak and effectiveness of non-pharmaceutical interventions. In: Intelligence and security informatics (pp. 108–120). Springer.
go back to reference Wang, Y., Zeng, D., Zhu, B., Zheng, X., Wang, F. (2012). Patterns of news dissemination through online news media: A case study in China. Information Systems Frontiers. 1–14 Wang, Y., Zeng, D., Zhu, B., Zheng, X., Wang, F. (2012). Patterns of news dissemination through online news media: A case study in China. Information Systems Frontiers. 1–14
go back to reference Wasserman, S., & Faust, K. (1994). Social networks analysis: Methods and applications. Cambridge: Cambridge University Press.CrossRef Wasserman, S., & Faust, K. (1994). Social networks analysis: Methods and applications. Cambridge: Cambridge University Press.CrossRef
go back to reference Watts, D. J., & Strogatz, S. H. (1998). Collective dynamics of ‘small-world’ networks. Nature, 393, 440.CrossRef Watts, D. J., & Strogatz, S. H. (1998). Collective dynamics of ‘small-world’ networks. Nature, 393, 440.CrossRef
go back to reference Wu, L., Ying, X., Wu, X., Lu, A., & Z–H, Z. (2011). Spectral analysis of k-balanced signed graphs. In J. Huang, L. Cao, & J. Srivastava (Eds.), Advances in knowledge discovery and data mining (Vol. 6635, pp. 1–12). Berlin: Springer.CrossRef Wu, L., Ying, X., Wu, X., Lu, A., & Z–H, Z. (2011). Spectral analysis of k-balanced signed graphs. In J. Huang, L. Cao, & J. Srivastava (Eds.), Advances in knowledge discovery and data mining (Vol. 6635, pp. 1–12). Berlin: Springer.CrossRef
go back to reference Yang, B., Cheung, W., & Liu, J. (2007). Community mining from signed social networks. IEEE Transactions on Knowledge and Data Engineering, 19, 1333–1348.CrossRef Yang, B., Cheung, W., & Liu, J. (2007). Community mining from signed social networks. IEEE Transactions on Knowledge and Data Engineering, 19, 1333–1348.CrossRef
go back to reference Young, H. P. (2011). The dynamics of social innovation. Proceedings of the National Academy of Sciences, 108, 21285–21291.CrossRef Young, H. P. (2011). The dynamics of social innovation. Proceedings of the National Academy of Sciences, 108, 21285–21291.CrossRef
go back to reference Zajonc, R. B., & Sherman, S. J. (1967). Structural balance and the induction of relations. Journal of Personality, 35, 635–650.CrossRef Zajonc, R. B., & Sherman, S. J. (1967). Structural balance and the induction of relations. Journal of Personality, 35, 635–650.CrossRef
go back to reference Zenou, Y. (2012). Networks in economics. In: International encyclopedia of social and behavioral sciences, 2nd Edn. Amsterdam: Elsevier. Zenou, Y. (2012). Networks in economics. In: International encyclopedia of social and behavioral sciences, 2nd Edn. Amsterdam: Elsevier.
go back to reference Zheng, X., Zeng, D., Sun, A., Luo, Y., Wang, Q., Wang, F. (2008). Network-based analysis of Beijing SARS data. Presented at the BioSecure. Zheng, X., Zeng, D., Sun, A., Luo, Y., Wang, Q., Wang, F. (2008). Network-based analysis of Beijing SARS data. Presented at the BioSecure.
go back to reference Zheng, X., Zeng, D., Cao, Z., Wang, Q., Wang, F.-Y. (2009). Evolutionary patterns on SARS networks. In: Biosurveillance and Biosecurity. Zheng, X., Zeng, D., Cao, Z., Wang, Q., Wang, F.-Y. (2009). Evolutionary patterns on SARS networks. In: Biosurveillance and Biosecurity.
go back to reference Zheng, X., Zeng, D., Sun, A., Luo, Y., Wang, Q., Wang, F.-Y. (2009). The prediction of missing infectious links in Beijing SARS. In: Biosurveillance and Biosecurity. Zheng, X., Zeng, D., Sun, A., Luo, Y., Wang, Q., Wang, F.-Y. (2009). The prediction of missing infectious links in Beijing SARS. In: Biosurveillance and Biosecurity.
go back to reference Zheng, X., Zhong, Y., Wang, F., Zeng, D., Zhang, Q., & Cui, K. (2011a). Social dynamics research based on web information. Complex Systems and Complexity Science, 8, 1–12. Zheng, X., Zhong, Y., Wang, F., Zeng, D., Zhang, Q., & Cui, K. (2011a). Social dynamics research based on web information. Complex Systems and Complexity Science, 8, 1–12.
go back to reference Zheng, X., Ke, G., Zeng, D. D., Ram, S., & Lu, H. (2011b). Next-generation team-science platform for scientific collaboration. IEEE Intelligent Systems, 26, 72–76.CrossRef Zheng, X., Ke, G., Zeng, D. D., Ram, S., & Lu, H. (2011b). Next-generation team-science platform for scientific collaboration. IEEE Intelligent Systems, 26, 72–76.CrossRef
go back to reference Zheng, X., Zhong, Y., Zeng, D., & Wang, F.-Y. (2012). Social influence and spread dynamics in social networks. Frontiers of Computer Science, 6, 611–620. Zheng, X., Zhong, Y., Zeng, D., & Wang, F.-Y. (2012). Social influence and spread dynamics in social networks. Frontiers of Computer Science, 6, 611–620.
go back to reference Ziegler, C.-N., & Lausen, G. (2005). Propagation models for trust and distrust in social networks. Information Systems Frontiers, 7, 337–358.CrossRef Ziegler, C.-N., & Lausen, G. (2005). Propagation models for trust and distrust in social networks. Information Systems Frontiers, 7, 337–358.CrossRef
Metadata
Title
Social balance in signed networks
Authors
Xiaolong Zheng
Daniel Zeng
Fei-Yue Wang
Publication date
01-10-2015
Publisher
Springer US
Published in
Information Systems Frontiers / Issue 5/2015
Print ISSN: 1387-3326
Electronic ISSN: 1572-9419
DOI
https://doi.org/10.1007/s10796-014-9483-8

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