A continuous-based approach for partial clique enumeration

  • Authors:
  • Samuel Rota Bulò;Andrea Torsello;Marcello Pelillo

  • Affiliations:
  • "Ca' Foscari" University of Venice;"Ca' Foscari" University of Venice;"Ca' Foscari" University of Venice

  • Venue:
  • GbRPR'07 Proceedings of the 6th IAPR-TC-15 international conference on Graph-based representations in pattern recognition
  • Year:
  • 2007

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Abstract

In many applications of computer vision and pattern recognition which use graph-based knowledge representation, it is of great interest to be able to extract the K largest cliques in a graph, but most methods are geared either towards extracting the single clique of maximum size, or enumerating all cliques, without following any particular order. In this paper we present a novel approach for partial clique enumeration, that is, the extraction of the K largest cliques of a graph. Our approach is based on a continuous formulation of the clique problem developed by Motzkin and Straus, and is able to avoid extracting the same clique multiple times. This is done by casting the problem into a gametheoretic framework and iteratively rendering unstable the solutions that have already been extracted.