An approximation for finding a smallest 2-edge-connected subgraph containing a specified spanning tree

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An Approximation for Finding a Smallest 2-Edge-Connected Subgraph Containing a Specified Spanning Tree

Given a graph G = (V;E) and a tree T = (V; F ) with E \ F = ; such that G + T = (V;F [ E) is 2-edge-connected, we consider the problem of nding a smallest 2-edge-connected spanning subgraph (V;F [ E 0 ) of G+ T containing T . The problem, which is known to be NP-hard, admits a 2-approximation algorithm. However, obtaining a factor better than 2 for this problem has been one of the main open pro...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2003

ISSN: 0166-218X

DOI: 10.1016/s0166-218x(02)00218-4