Skip to main content

2017 | OriginalPaper | Buchkapitel

Cooperative Game Theory Approaches for Network Partitioning

verfasst von : Konstantin E. Avrachenkov, Aleksei Yu. Kondratev, Vladimir V. Mazalov

Erschienen in: Computing and Combinatorics

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The paper is devoted to game-theoretic methods for community detection in networks. The traditional methods for detecting community structure are based on selecting denser subgraphs inside the network. Here we propose to use the methods of cooperative game theory that highlight not only the link density but also the mechanisms of cluster formation. Specifically, we suggest two approaches from cooperative game theory: the first approach is based on the Myerson value, whereas the second approach is based on hedonic games. Both approaches allow to detect clusters with various resolution. However, the tuning of the resolution parameter in the hedonic games approach is particularly intuitive. Furthermore, the modularity based approach and its generalizations can be viewed as particular cases of the hedonic games.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Avrachenkov, K., Dobrynin, V., Nemirovsky, D., Pham, S.K., Smirnova, E.: Pagerank based clustering of hypertext document collections. In: Proceedings of ACM SIGIR 2008, pp. 873–874 (2008) Avrachenkov, K., Dobrynin, V., Nemirovsky, D., Pham, S.K., Smirnova, E.: Pagerank based clustering of hypertext document collections. In: Proceedings of ACM SIGIR 2008, pp. 873–874 (2008)
2.
Zurück zum Zitat Avrachenkov, K., El Chamie, M., Neglia, G.: Graph clustering based on mixing time of random walks. In: Proceedings of IEEE ICC 2014, pp. 4089–4094 (2014) Avrachenkov, K., El Chamie, M., Neglia, G.: Graph clustering based on mixing time of random walks. In: Proceedings of IEEE ICC 2014, pp. 4089–4094 (2014)
3.
Zurück zum Zitat Blatt, M., Wiseman, S., Domany, E.: Clustering data through an analogy to the Potts model. In: Proceedings of NIPS 1996, pp. 416–422 (1996) Blatt, M., Wiseman, S., Domany, E.: Clustering data through an analogy to the Potts model. In: Proceedings of NIPS 1996, pp. 416–422 (1996)
4.
Zurück zum Zitat Blondel, V.D., Guillaume, J.L., Lambiotte, R., Lefebvre, E.: Fast unfolding of communities in large networks. J. Stat. Mech. Theory Exp. 10, P10008 (2008)CrossRef Blondel, V.D., Guillaume, J.L., Lambiotte, R., Lefebvre, E.: Fast unfolding of communities in large networks. J. Stat. Mech. Theory Exp. 10, P10008 (2008)CrossRef
5.
6.
Zurück zum Zitat Dongen, S.: Performance criteria for graph clustering and Markov cluster experiments. CWI Technical report (2000) Dongen, S.: Performance criteria for graph clustering and Markov cluster experiments. CWI Technical report (2000)
8.
Zurück zum Zitat Fortunato, S., Barthelemy, M.: Resolution limit in community detection. Proc. Nat. Acad. Sci. 104(1), 36–41 (2007)CrossRef Fortunato, S., Barthelemy, M.: Resolution limit in community detection. Proc. Nat. Acad. Sci. 104(1), 36–41 (2007)CrossRef
9.
Zurück zum Zitat Girvan, M., Newman, M.E.J.: Community structure in social and biological networks. Proc. Nat. Acad. Sci. USA 99(12), 7821–7826 (2002)MathSciNetCrossRefMATH Girvan, M., Newman, M.E.J.: Community structure in social and biological networks. Proc. Nat. Acad. Sci. USA 99(12), 7821–7826 (2002)MathSciNetCrossRefMATH
11.
Zurück zum Zitat Jackson, M.O.: Social and Economic Networks. Princeton University Press, Princeton (2008)MATH Jackson, M.O.: Social and Economic Networks. Princeton University Press, Princeton (2008)MATH
12.
Zurück zum Zitat Leskovec, J., Lang, K.J., Dasgupta, A., Mahoney, M.W.: Community structure in large networks: Natural cluster sizes and the absence of large well-defined clusters. Internet Math. 6(1), 29–123 (2009)MathSciNetCrossRefMATH Leskovec, J., Lang, K.J., Dasgupta, A., Mahoney, M.W.: Community structure in large networks: Natural cluster sizes and the absence of large well-defined clusters. Internet Math. 6(1), 29–123 (2009)MathSciNetCrossRefMATH
13.
Zurück zum Zitat Mazalov, V.: Mathematical Game Theory and Applications. Wiley, Hoboken (2014)MATH Mazalov, V.: Mathematical Game Theory and Applications. Wiley, Hoboken (2014)MATH
14.
Zurück zum Zitat Mazalov, V., Avrachenkov, K., Trukhina, I.: Game-theoretic centrality measures for weighted graphs. Fundamenta Informaticae 145(3), 341–358 (2016)MathSciNetCrossRef Mazalov, V., Avrachenkov, K., Trukhina, I.: Game-theoretic centrality measures for weighted graphs. Fundamenta Informaticae 145(3), 341–358 (2016)MathSciNetCrossRef
15.
Zurück zum Zitat Mazalov, V.V., Trukhina, L.I.: Generating functions and the Myerson vector in communication networks. Disc. Math. Appl. 24(5), 295–303 (2014)MathSciNetMATH Mazalov, V.V., Trukhina, L.I.: Generating functions and the Myerson vector in communication networks. Disc. Math. Appl. 24(5), 295–303 (2014)MathSciNetMATH
16.
Zurück zum Zitat Meila, M., Shi, J.: A random walks view of spectral segmentation. In: Proceedings of AISTATS 2001 Meila, M., Shi, J.: A random walks view of spectral segmentation. In: Proceedings of AISTATS 2001
18.
Zurück zum Zitat Newman, M.E.J.: A measure of betweenness centrality based on random walks. Proc. Nat. Acad. Sci. USA 27, 39–54 (2005) Newman, M.E.J.: A measure of betweenness centrality based on random walks. Proc. Nat. Acad. Sci. USA 27, 39–54 (2005)
19.
Zurück zum Zitat Newman, M.E.J.: Modularity and community structure in networks. Soc. Netw. 103(23), 8577–8582 (2006) Newman, M.E.J.: Modularity and community structure in networks. Soc. Netw. 103(23), 8577–8582 (2006)
20.
Zurück zum Zitat Pons, P., Latapy, M.: Computing communities in large networks using random walks. J. Graph Algorithms Appl. 10(2), 191–218 (2006)MathSciNetCrossRefMATH Pons, P., Latapy, M.: Computing communities in large networks using random walks. J. Graph Algorithms Appl. 10(2), 191–218 (2006)MathSciNetCrossRefMATH
21.
Zurück zum Zitat Raghavan, U.N., Albert, R., Kumara, S.: Near linear time algorithm to detect community structures in large-scale networks. Phys. Rev. E 76(3), 036106 (2007)CrossRef Raghavan, U.N., Albert, R., Kumara, S.: Near linear time algorithm to detect community structures in large-scale networks. Phys. Rev. E 76(3), 036106 (2007)CrossRef
22.
Zurück zum Zitat Reichardt, J., Bornholdt, S.: Statistical mechanics of community detection. Phys. Rev. E 74(1), 016110 (2006)MathSciNetCrossRef Reichardt, J., Bornholdt, S.: Statistical mechanics of community detection. Phys. Rev. E 74(1), 016110 (2006)MathSciNetCrossRef
24.
Zurück zum Zitat Waltman, L., van Eck, N.J., Noyons, E.C.: A unified approach to mapping and clustering of bibliometric networks. J. Inform. 4(4), 629–635 (2010)CrossRef Waltman, L., van Eck, N.J., Noyons, E.C.: A unified approach to mapping and clustering of bibliometric networks. J. Inform. 4(4), 629–635 (2010)CrossRef
25.
Zurück zum Zitat Zachary, W.W.: An information flow model for conflict and fission in small groups. J. Anthropol. Res. 33(4), 452–473 (1977)CrossRef Zachary, W.W.: An information flow model for conflict and fission in small groups. J. Anthropol. Res. 33(4), 452–473 (1977)CrossRef
Metadaten
Titel
Cooperative Game Theory Approaches for Network Partitioning
verfasst von
Konstantin E. Avrachenkov
Aleksei Yu. Kondratev
Vladimir V. Mazalov
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-62389-4_49

Premium Partner