Abstract
This chapter briefly reviews the most common kind of benchmark graphs in the literature, a class of networks introduced by Girvan and Newman (GN). This chapter then proposes a new class of graphs, that account for the heterogeneity in the distributions of node degrees and of community sizes and is therefore closer to real properties found in real networks. Moreover, the new benchmark is generalized to include overlapping, weighted and directed graphs. Finally, it introduces some of the most commonly used community detection algorithms and compares their performances.
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References
E. Pauwels, G. Frederix, Comput. Vis. Image Underst. 75, 73–85 (1999)
D. Daveis, D. Bouldin, IEEE Trans. Pattern Anal. Mach. Intell. 20, 53–65 (1979)
P. Rousseeuw, Comput. Appl. Math. 2, 224 (1986)
M. Girvan, M.E. Newman, Proc. Natl. Acad. Sci. USA 99, 7821 (2002)
A. Lancichinetti, S. Fortunato, F. Radicchi, Phys. Rev. E 78, 046110 (2008)
A. Lancichinetti S. Fortunato, Phys. Rev. E 80, 016118 (2009)
A. Lancichinetti, S. Fortunato, Phys. Rev. E 80, 056117 (2009)
P. Erdös A. Rényi, Publ. Math. Debrecen 6, 290 (1959)
M. Molloy, B. Reed, Random Struct. Algorithm 6, 161 (1995)
A. Condon, R.M. Karp, Random Struct. Algor. 18, 116 (2001)
G. Palla, I. Derényi, I. Farkas, T. Vicsek, Nature 435, 814 (2005)
R. Guimerà, L. Danon, A. Díaz-Guilera, F. Giralt, A. Arenas, Phys. Rev. E 68, 065103 (2003)
L. Danon, J. Duch, A. Arenas, A. Díaz-Guilera, in Community structure identification. Large Scale Structure and Dynamics of Complex Networks: From Information Technology to Finance and Natural Science, Singapore: World Scientific. pp. 93–114 (2007)
A. Clauset, M.E. Newman, C. Moore, Phys. Rev. E 70, 066111 (2004)
V. D. Blondel, J.-L. Guillaume, R. Lambiotte, E. Lefebvre, J. Stat. Mech. P10008, (2008)
J. Baumes, M.Goldberg, M. Krishnamoorthy, M. Magdon-Ismail, N. Preston, Finding communities by clustering a graph into overlapping subgraphs, International Conference on Applied Computing (2005)
S. Zhang, R.-S. Wang, X.-S. Zhang, Phys. A 374, 483 (2007)
T. Nepusz, A. Petróczi, L. Négyessy, F. Bazsó, Phys. Rev. E 77, 016107 (2008)
E.A. Leicht, M.E.J. Newman, Phys. Rev. Lett. 100, 118703 (2008)
A. Barrat, M. Barthélemy, R. Pastor-Satorras, A. Vespignani, Proc. Natl. Acad. Sci. USA 101, 3747 (2004)
S. Fortunato, Community detection in graphs. Phys. Rep. 486, 75–174 (2010)
M. Meilă, J. Multivariate Anal. 98, 873 (2007)
A. Lancichinetti, S. Fortunato, J. Kertesz, New J. Phys. 11, 033015 (2009)
M.E.J. Newman, M. Girvan, Phys. Rev. E 69, 026113 (2004)
R. Guimerà, M. Sales-Pardo, L.A.N. Amaral, Phys. Rev. E 70, 025101 (2004)
C.P. Massen, J.P. Doye, Phys. Rev. E 71, 046101 (2005)
A. Medus, G. Acu na, C.O. Dorso, Phys. A 358, 593 (2005)
R. Guimerà, L.A.N. Amaral, Nature 433, 895 (2005)
F. Radicchi, C. Castellano, F. Cecconi, V. Loreto, D. Parisi, Proc. Natl. Acad. Sci. USA 101, 2658 (2004)
S. van Dongen, Ph.D. thesis, Dutch National Research Institute for Mathematics and Computer Science, University of Utrecht, The Netherlands (2000)
M. Rosvall, C.T. Bergstrom, Proc. Natl. Acad. Sci. USA 104, 7327 (2007).
M. Rosvall, C.T. Bergstrom, Proc. Natl. Acad. Sci. USA 105, 1118 (2008)
L. Donetti, M.A. Mu noz, J. Stat. Mech. P10012, (2004)
M.E.J. Newman, E.A. Leicht, Proc. Natl. Acad. Sci. USA 104, 9564 (2007)
P. Ronhovde, Z. Nussinov, Phys. Rev. E 80, 016109 (2009)
S. Fortunato, M. Barthélemy, Proc. Natl. Acad. Sci. USA 104, 36 (2007)
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Lancichinetti, A. (2013). Evaluating the Performance of Clustering Algorithms in Networks. In: Mukherjee, A., Choudhury, M., Peruani, F., Ganguly, N., Mitra, B. (eds) Dynamics On and Of Complex Networks, Volume 2. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-6729-8_8
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