Approximating Minimum Max-Stretch Spanning Trees on Unweighted Graphs

Yuval Emek; David Peleg

Approximating Minimum Max-Stretch Spanning Trees on Unweighted Graphs

Yuval Emek
, David Peleg

Weizmann Institute of Science

Research output: Contribution to conference › Paper › peer-review

28 Scopus citations

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.

Original language	English
Pages	254-263
Number of pages	10
State	Published - 2004
Externally published	Yes
Event	Proceedings of the Fifteenth Annual ACM-SIAM Symposium on Discrete Algorithms - New Orleans, LA., United States Duration: 11 Jan 2004 → 13 Jan 2004

Conference

Conference	Proceedings of the Fifteenth Annual ACM-SIAM Symposium on Discrete Algorithms
Country/Territory	United States
City	New Orleans, LA.
Period	11/01/04 → 13/01/04

Cite this

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title = "Approximating Minimum Max-Stretch Spanning Trees on Unweighted Graphs",

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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AU - Peleg, David

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AB - 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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Approximating Minimum Max-Stretch Spanning Trees on Unweighted Graphs

Abstract

Conference

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