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inria-00070167, version 1

Complexity and approximability issues of Shared Risk Resource Group

David Coudert () 1, Pallab Datta 1, Stéphane Pérennes () 1, Hervé Rivano () a1, Marie-Emilie Voge () 1

N° RR-5859 (2006)

Résumé : This article investigates the consequences of the Shared Risk Ressource Groups (SRRG) model on classical combinatorial concepts of network survivability. It focuses on complexity and approximability issues, and on the evolutions of the relationships among these questions. We introduce a combinatorial model for SRRG based on edge-colored graphs. The notions of colored cut and colored spanning tree are introduced, the hardness and non-approximability of path, cut and spanning tree colored optimization problems are proved. We provide approximation algorithms, and investigate specific polynomial cases. Deep differences between colored combinatorial questions and their counterparts in classical graph theory are shown. In particular, results concerning the relationships among colored problems are presented.

  • a –  CNRS
  • 1 :  MASCOTTE (INRIA Sophia Antipolis / Laboratoire I3S)
  • INRIA – Université Nice Sophia Antipolis [UNS] – CNRS : UMR7271
  • Domaine : Informatique/Autre
  • Mots-clés : RELIABILITY – SHARED RISK RESOURCE GROUP – COLORED GRAPHS – COMPLEXITY – APPROXIMABILITY
  • Référence interne : RR-5859
 
  • inria-00070167, version 1
  • oai:hal.inria.fr:inria-00070167
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  • Soumis le : Vendredi 19 Mai 2006, 19:18:46
  • Dernière modification le : Mardi 4 Novembre 2008, 16:18:50