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Approximating Minimum Max-Stretch spanning Trees on unweighted graphs

Published:11 January 2004Publication History

ABSTRACT

Given a graph G and a spanning tree T of G, we say that T is a tree t-spanner of G if the distance between every pair of vertices in T is at most t times their distance in G. The problem of finding a tree t-spanner minimizing t is referred to as the Minimum Max-Stretch spanning Tree (MMST) problem. This paper concerns the MMST problem on unweighted graphs. The problem is known to be NP-hard, and the paper presents an O(log n) approximation algorithm for it.

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  1. Approximating Minimum Max-Stretch spanning Trees on unweighted graphs

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      • Published in

        cover image ACM Conferences
        SODA '04: Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
        January 2004
        1113 pages
        ISBN:089871558X

        Publisher

        Society for Industrial and Applied Mathematics

        United States

        Publication History

        • Published: 11 January 2004

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        Acceptance Rates

        Overall Acceptance Rate411of1,322submissions,31%

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