Approximating minimum max-stretch spanning trees on unweighted graphs

Yuval Emek, David Peleg

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


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 i-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. Furthermore, it is established that unless P = NP, the problem cannot be approximated additively by any o(n) term.

Original languageEnglish
Pages (from-to)1761-1781
Number of pages21
JournalSIAM Journal on Computing
Issue number5
StatePublished - 2008
Externally publishedYes


  • Low stretch
  • Spanners
  • Spanning trees


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