Self-stabilizing algorithm for maximal graph partitioning into triangles

  • Authors:
  • Brahim Neggazi;Mohammed Haddad;Hamamache Kheddouci

  • Affiliations:
  • GAMA Lab., University of Lyon, Claude Bernard Lyon 1 University, Villeurbanne, France;GAMA Lab., University of Lyon, Claude Bernard Lyon 1 University, Villeurbanne, France;GAMA Lab., University of Lyon, Claude Bernard Lyon 1 University, Villeurbanne, France

  • Venue:
  • SSS'12 Proceedings of the 14th international conference on Stabilization, Safety, and Security of Distributed Systems
  • Year:
  • 2012

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Abstract

The graph partitioning problem consists of dividing a graph into parts, patterns or partitions which satisfy some specifications. Graph partitioning problems are known to be NP-complete. In this paper, we focus on the particular pattern of triangles and present the first Self-stabilizing algorithm for Maximal Partitioning of arbitrary graphs into Triangles (MPT). Then, we give the correctness and convergence proofs of the proposed algorithm.