Shared Risk Resource Group: Complexity and Approximability issues

David Coudert 1 P. Datta 2 Stéphane Pérennes 1 Hervé Rivano 1 Marie-Emilie Voge 1
1 MASCOTTE - Algorithms, simulation, combinatorics and optimization for telecommunications
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - COMRED - COMmunications, Réseaux, systèmes Embarqués et Distribués
Abstract : This article investigates complexity and approximability properties of combinatorial optimization problems yielded by the notion of Shared Risk Resource Group (SRRG). SRRG has been introduced in order to capture network survivability issues where a failure may break a whole set of resources, and has been formalized as colored graphs, where a set of resources is represented by a set of edges with same color. We consider here the analogous of classical problems such as determining paths or cuts with the minimum numbers of colors or color disjoint paths. These optimization problems are much more difficult than their counterparts in classical graph theory. In particular standard relationship such as the Max Flow - Min Cut equality do not hold any longer. In this article we identify cases where these problems are polynomial, for example when the edges of a given color form a connected subgraph, and otherwise give hardness and non approximability results for these problems.
Type de document :
Article dans une revue
Parallel Processing Letters, World Scientific Publishing, 2007, 17 (2), pp.169-184
Liste complète des métadonnées

Littérature citée [22 références]  Voir  Masquer  Télécharger
Contributeur : Hervé Rivano <>
Soumis le : jeudi 26 mars 2009 - 14:47:36
Dernière modification le : lundi 5 novembre 2018 - 15:36:03
Document(s) archivé(s) le : jeudi 10 juin 2010 - 18:48:57


Fichiers produits par l'(les) auteur(s)


  • HAL Id : hal-00371100, version 1



David Coudert, P. Datta, Stéphane Pérennes, Hervé Rivano, Marie-Emilie Voge. Shared Risk Resource Group: Complexity and Approximability issues. Parallel Processing Letters, World Scientific Publishing, 2007, 17 (2), pp.169-184. 〈hal-00371100〉



Consultations de la notice


Téléchargements de fichiers