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Optimizing an Organized Modularity Measure for Topographic Graph Clustering: a Deterministic Annealing Approach

Abstract : This paper proposes an organized generalization of Newman and Girvan's modularity measure for graph clustering. Optimized via a deterministic annealing scheme, this measure produces topologically ordered graph clusterings that lead to faithful and readable graph representations based on clustering induced graphs. Topographic graph clustering provides an alternative to more classical solutions in which a standard graph clustering method is applied to build a simpler graph that is then represented with a graph layout algorithm. A comparative study on four real world graphs ranging from 34 to 1 133 vertices shows the interest of the proposed approach with respect to classical solutions and to self-organizing maps for graphs.
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https://hal.archives-ouvertes.fr/hal-00515892
Contributor : Fabrice Rossi <>
Submitted on : Wednesday, September 8, 2010 - 11:13:14 AM
Last modification on : Friday, July 31, 2020 - 10:44:05 AM

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Fabrice Rossi, Nathalie Villa-Vialaneix. Optimizing an Organized Modularity Measure for Topographic Graph Clustering: a Deterministic Annealing Approach. Neurocomputing, Elsevier, 2010, 73 (7-9), pp.Pages 1142-1163. ⟨10.1016/j.neucom.2009.11.023⟩. ⟨hal-00515892⟩

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