Abstract
Graph partitioning, or network clustering, is an essential research problem in many areas. Current approaches, however, have difficulty splitting two clusters that are densely connected by one or more “hub” vertices. Further, traditional methods are less able to deal with very confused structures. In this paper we propose a novel similarity-based definition of the quality of a partitioning of a graph. Through theoretical analysis and experimental results we demonstrate that the proposed definition largely overcomes the “hub” problem and outperforms existing approaches on complicated graphs. In addition, we show that this definition can be used with fast agglomerative algorithms to find communities in very large networks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ding, C.H.Q., He, X., et al.: A min-max cut algorithm for graph partitioning and data clustering. In: Proc. of ICDM 2001 (2001)
Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. On Pattern Analysis and Machine Intelligence 22(8) (2000)
Hegan, L., Kahng, A.B.: New spectral methods for ratio cut partitioning and clustering. IEEE Trans. On Computed Aided Design 11, 1074–1085 (1992)
Newman, M.: Fast algorithm for detecting community structure in networks. Phys. Rev. E 69, art. No. 066133 (2004)
Clauset, A., Newman, M., Moore, C.: Finding community in very large networks (2004)
Newman, M.: Scientific collaboration networks: II. Shortest paths, weighted networks, and centrality. Phys. Rev. E 64, 15132 (2001)
Girvan, M., Newman, M.: Community structure in social and biological networks. Proc. Natl. Acad. Sci. USA 99, 7821–7826 (2002)
Newman, M.: Detecting community structure in networks. Eur. Phys. J. B 38, 321–330 (2004)
Freeman, L.: A set of measures of centrality based upon betweeness. Sociometry 40, 35–41 (1977)
Guimera, R., Amaral, L.A.N.: Functional cartography of complex metabolic networks. Letters to nature (February 2005)
Feng, Z., Xu, X., Schweiger, T.: Genetic Clustering Algorithm for Graph Partitioning, technique report (2006)
Leicht, E.A., Holme, P., Newman, M.E.J.: Vertex similarity in networks. Phys. Rev. E 73, 26120 (2006)
Dias, C.R., Ochi, L.S.: Efficient Evolutionary Algorithms for the Clustering Problem in Directed Graphs. In: CEC 2003. The Congress on Evolutionary Computation (2003)
Wang, J., Xu, L., Zhang, B.: A Genetic Annealing Hybrid Algorithm based Clustering Strategy in Mobile Ad hoc Network. Proc. on Communications, Circuits and Systems (2005)
Sheng, W., Swift, S., Zhang, L., Liu, X.: A Weighted Sum Validity Function for Clustering With a Hybrid Niching Genetic Algorithm. IEEE Trans. On Sys., Man and Cybernetics, part B:Cybernetics 35(6) (December 2005)
Hernadez, G., Bobadilla, L., Sanchez, Q.: A Genetic Word Clustering Algorithm. In: CEC 2005. The Congress on Evolutionary Computation (2005)
Zhang, J., Chung, H., Hu, B.: Adaptive Probabilities of Crossover and Mutation in Genetic Algorithms Based on Clustering Technique. In: CEC 2004. The Congress on Evolutionary Computation (2004)
Wasserman, S., Faust, K.: Social Network Analysis. Cambridge University Press, Cambridge (1994)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Feng, Z., Xu, X., Yuruk, N., Schweiger, T.A.J. (2007). A Novel Similarity-Based Modularity Function for Graph Partitioning. In: Song, I.Y., Eder, J., Nguyen, T.M. (eds) Data Warehousing and Knowledge Discovery. DaWaK 2007. Lecture Notes in Computer Science, vol 4654. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74553-2_36
Download citation
DOI: https://doi.org/10.1007/978-3-540-74553-2_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74552-5
Online ISBN: 978-3-540-74553-2
eBook Packages: Computer ScienceComputer Science (R0)