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arXiv · 1307.2715

Optimisation dans la détection de communautés recouvrantes et équilibre de Nash

Michel Crampes·Michel Plantié·Marie Lopez
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Abstract

Community detection in graphs has been the subject of many algorithms. Recent methods want to optimize a modularity function which shows a maximum of relationships within communities and found a minimum of inter-community relations. these algorithms are applied to unipartite, multipartite and directed graphs. However, given the NP-completeness of the problem, these algorithms are heuristics that do not guarantee an optimum. In this paper we introduce an algorithm which, based on an approximate solution obtained through a efficient detection algorithm, modifie it to achieve a local optimum based on a function. this reassignment function is a potential function and therefore the computed optimum is a Nash equilibrium. We supplement our method with an overlap function that allows to have simultaneously the two detection modes. Several experiments show the interest of our approach.

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Michel Crampes, Michel Plantié, Marie Lopez. 2013-07-10. Optimisation dans la détection de communautés recouvrantes et équilibre de Nash. https://arxiv.org/abs/1307.2715

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