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Erschienen in: Social Network Analysis and Mining 3/2013

01.09.2013 | Original Article

Blockmodelling and role analysis in multi-relational networks

verfasst von: Andreas Harrer, Alona Schmidt

Erschienen in: Social Network Analysis and Mining | Ausgabe 3/2013

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Abstract

In this paper we introduce an approach for the analysis of multi-relational networks based on blockmodelling, investigation of role systems within these relations and an integrated visualisation to show all the analysis results in one representation. Our direct Blockmodelling-method is inspired by the Pajek-Approach generalised for two-relational networks and evaluated statistically against current indirect approaches. Based on the resulting blocks the interrelations between different relations are considered and represented as inclusion and equivalence dependencies. For better interpretation of these methods, we present a visualisation that presents actors, positions they belong, roles, and group concepts integrated and at one glimpse. Finally, we apply our methods to the “Krackhardt’s High-tech Managers” dataset to show the feasibility of the approach and present a different interpretation proposal for this well-known data set.

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Literatur
Zurück zum Zitat Arabie P (1984) Validation of sociometric structure by data on individuals’ attribute. Soc Netw 6:373–403CrossRef Arabie P (1984) Validation of sociometric structure by data on individuals’ attribute. Soc Netw 6:373–403CrossRef
Zurück zum Zitat Batagelj V, Mrvar A (2010) Pajek. Reference manual. Ljubljana Batagelj V, Mrvar A (2010) Pajek. Reference manual. Ljubljana
Zurück zum Zitat Batagelj V, Zaversnik M (2003) An o(m) algorithm for cores decomposition of networks. Symposium A Quarterly Journal In Modern Foreign Literatures m 1–10 Batagelj V, Zaversnik M (2003) An o(m) algorithm for cores decomposition of networks. Symposium A Quarterly Journal In Modern Foreign Literatures m 1–10
Zurück zum Zitat Berlingerio M, Coscia M, Giannotti F, Monreale A, Pedreschi D (2011) Foundations of multidimensional network analysis. In: International conference on advances in social network analysis and mining, ASONAM 2011, IEEE Computer Society, pp 485–489 Berlingerio M, Coscia M, Giannotti F, Monreale A, Pedreschi D (2011) Foundations of multidimensional network analysis. In: International conference on advances in social network analysis and mining, ASONAM 2011, IEEE Computer Society, pp 485–489
Zurück zum Zitat Boorman SA, White HC (1976) Social structure from multiple networks. II Role structures. Am J Sociol 81(6):1384–1446CrossRef Boorman SA, White HC (1976) Social structure from multiple networks. II Role structures. Am J Sociol 81(6):1384–1446CrossRef
Zurück zum Zitat Cai D, Shao Z, He X, Yan X, Han J (2005) Community mining from multi-relational networks. In: Lecture Notes in Computer Science, vol 3721, PKDD 2005, Springer, Berlin, pp 445–452 Cai D, Shao Z, He X, Yan X, Han J (2005) Community mining from multi-relational networks. In: Lecture Notes in Computer Science, vol 3721, PKDD 2005, Springer, Berlin, pp 445–452
Zurück zum Zitat Doreian P, Batagelj V, Ferligoj A (1994) Partitioning networks based on generalized concepts of equivalence. J Math Sociol 19(1):1–27MATHCrossRef Doreian P, Batagelj V, Ferligoj A (1994) Partitioning networks based on generalized concepts of equivalence. J Math Sociol 19(1):1–27MATHCrossRef
Zurück zum Zitat Doreian P, Batagelj V, Ferligoj A (2005) Generalized blockmodeling. Cambridge University Press, Cambridge Doreian P, Batagelj V, Ferligoj A (2005) Generalized blockmodeling. Cambridge University Press, Cambridge
Zurück zum Zitat Gilbert F, Simonetto P, Zaidi F, Jourdan F, Bourqui R (2011) Communities and hierarchical structures in dynamic social networks: analysis and visualization. Soc Netw Anal Min 1:83–95. doi:10.1007/s13278-010-0002-8 Gilbert F, Simonetto P, Zaidi F, Jourdan F, Bourqui R (2011) Communities and hierarchical structures in dynamic social networks: analysis and visualization. Soc Netw Anal Min 1:83–95. doi:10.​1007/​s13278-010-0002-8
Zurück zum Zitat Harrer A, Zeini S, Pinkwart N (2006) Evaluation of communication in web-supported learning communities—an analysis with triangulation research design. Int J Web Based Commun 2(4):428–446CrossRef Harrer A, Zeini S, Pinkwart N (2006) Evaluation of communication in web-supported learning communities—an analysis with triangulation research design. Int J Web Based Commun 2(4):428–446CrossRef
Zurück zum Zitat Heidler R (2006) Die Blockmodellanalyse—Theorie und Anwendung einer netzwerkanalytischen Methode. Deutsche Universitts-Verlag, Wiesbaden Heidler R (2006) Die Blockmodellanalyse—Theorie und Anwendung einer netzwerkanalytischen Methode. Deutsche Universitts-Verlag, Wiesbaden
Zurück zum Zitat Kazienko P, Brodka P, Musial K (2010) Individual neighbourhood exploration in complex multi-layered social network. In: 2010 IEEE/WIC/ACM international conference on web intelligence and intelligent agent technology. Collective intelligence in semantic web and social networks workshop, IEEE Computer Society Press, pp 5–8 Kazienko P, Brodka P, Musial K (2010) Individual neighbourhood exploration in complex multi-layered social network. In: 2010 IEEE/WIC/ACM international conference on web intelligence and intelligent agent technology. Collective intelligence in semantic web and social networks workshop, IEEE Computer Society Press, pp 5–8
Zurück zum Zitat Kazienko P, Musial K, Kukla E, Kajdanowitcs T, Brodka P (2011) Multidimensional social network: model and analysis. In: Lecture Notes in Artificial Intelligence LNAI, pp 378–387. ICCCI 2011, The 3rd international conference on computational collective intelligence—technologies and applications, Springer, Berlin Kazienko P, Musial K, Kukla E, Kajdanowitcs T, Brodka P (2011) Multidimensional social network: model and analysis. In: Lecture Notes in Artificial Intelligence LNAI, pp 378–387. ICCCI 2011, The 3rd international conference on computational collective intelligence—technologies and applications, Springer, Berlin
Zurück zum Zitat Krempel L (2005) Visualisierung komplexer Strukturen—Grundlagen der Darstellung Mehrdimensionaler Netzwerke. Campus Verlag Krempel L (2005) Visualisierung komplexer Strukturen—Grundlagen der Darstellung Mehrdimensionaler Netzwerke. Campus Verlag
Zurück zum Zitat Lancichinetti A, Fortunato S, Radicchi F (2008) Benchmark graphs for testing community detection algorithms. Phys Rev E78 046110 Lancichinetti A, Fortunato S, Radicchi F (2008) Benchmark graphs for testing community detection algorithms. Phys Rev E78 046110
Zurück zum Zitat MacQueen JB (1967) Some methods for classification and analysis of multivariate observations. In: Proceedings of 5th Berkeley symposium on mathematical statistics and probability, vol 1. University of California Press, Berkeley, pp 281–297 MacQueen JB (1967) Some methods for classification and analysis of multivariate observations. In: Proceedings of 5th Berkeley symposium on mathematical statistics and probability, vol 1. University of California Press, Berkeley, pp 281–297
Zurück zum Zitat Magnani M, Rossi L (2011) The ML-model for multi-layer social networks. In: ASONAM 2011, international conference on advances in social network analysis and mining, IEEE Computer Society, pp 5–12 Magnani M, Rossi L (2011) The ML-model for multi-layer social networks. In: ASONAM 2011, international conference on advances in social network analysis and mining, IEEE Computer Society, pp 5–12
Zurück zum Zitat Monge P, Contractor N (2003) Theories of Communication Networks. Oxford University Press, Oxford Monge P, Contractor N (2003) Theories of Communication Networks. Oxford University Press, Oxford
Zurück zum Zitat Mucha PJ, Porter M (2010) Communities in multislice voting networks. Chaos Interdiscip J Nonlinear Sci 20:041108 Mucha PJ, Porter M (2010) Communities in multislice voting networks. Chaos Interdiscip J Nonlinear Sci 20:041108
Zurück zum Zitat Mucha P, Richardson T, Macon K, Porter M, Onnela JP: (2010) Community structure in time-dependent, multiscale, and multiplex networks. Sci Agric 328:876–878MathSciNetMATHCrossRef Mucha P, Richardson T, Macon K, Porter M, Onnela JP: (2010) Community structure in time-dependent, multiscale, and multiplex networks. Sci Agric 328:876–878MathSciNetMATHCrossRef
Zurück zum Zitat Newman MEJ (2003) Random graphs as models of networks. In: Stefan Bornholdt HGS (ed) Handbook of graphs and networks: from the genome to the Internet, Wiley-VCH, Weinheim, pp 35–65 Newman MEJ (2003) Random graphs as models of networks. In: Stefan Bornholdt HGS (ed) Handbook of graphs and networks: from the genome to the Internet, Wiley-VCH, Weinheim, pp 35–65
Zurück zum Zitat Pattison P (1993) Algebraic models for social networks. Cambridge University Press, Cambridge Pattison P (1993) Algebraic models for social networks. Cambridge University Press, Cambridge
Zurück zum Zitat Peters S, Jacob Y, Denoyer L, Gallinari P (2012) Iterative multi-label multi-relational classification algorithm for complex social networks. Soc Netw Anal Min 2:17–29. doi:10.1007/s13278-011-0034-8 Peters S, Jacob Y, Denoyer L, Gallinari P (2012) Iterative multi-label multi-relational classification algorithm for complex social networks. Soc Netw Anal Min 2:17–29. doi:10.​1007/​s13278-011-0034-8
Zurück zum Zitat Pfeffer J (2008) Visualisierung sozialer netzwerke. In: Stegbauer C (ed) Netzwerkanalyse und Netzwerktheorie, Ein neues Paradigma in den Sozialwissenschaften. VS-Verlag, pp 231–238 Pfeffer J (2008) Visualisierung sozialer netzwerke. In: Stegbauer C (ed) Netzwerkanalyse und Netzwerktheorie, Ein neues Paradigma in den Sozialwissenschaften. VS-Verlag, pp 231–238
Zurück zum Zitat Rodriguez M, Shinavier J (2009) Exposing multi-relational networks to single relational network analysis algorithms. J Infometrics 4(1):29–41CrossRef Rodriguez M, Shinavier J (2009) Exposing multi-relational networks to single relational network analysis algorithms. J Infometrics 4(1):29–41CrossRef
Zurück zum Zitat Venables WN, Smith DM (2011) An introduction to R. Notes on R: A Programming Environment for Data Analysis and Graphics. R Development Core Team, version 2.13.1 edn. Venables WN, Smith DM (2011) An introduction to R. Notes on R: A Programming Environment for Data Analysis and Graphics. R Development Core Team, version 2.13.1 edn.
Zurück zum Zitat Wasserman S, Faust K (1994) Social network analysis: methods and applications. Cambridge University Press, Cambridge Wasserman S, Faust K (1994) Social network analysis: methods and applications. Cambridge University Press, Cambridge
Metadaten
Titel
Blockmodelling and role analysis in multi-relational networks
verfasst von
Andreas Harrer
Alona Schmidt
Publikationsdatum
01.09.2013
Verlag
Springer Vienna
Erschienen in
Social Network Analysis and Mining / Ausgabe 3/2013
Print ISSN: 1869-5450
Elektronische ISSN: 1869-5469
DOI
https://doi.org/10.1007/s13278-013-0116-x

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