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Graph spanners and connectivity

  • Shuichi Ueno
  • Michihiro Yamazaki
  • Yoji Kajitani
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 650)

Abstract

Given an n-vertex graph or digraph G, a spanning subgraph S is a k-spanner of G if for every u, vV(G), the distance from u to v in S is at most k times longer than the distance in G. This paper establishes some relationships between the connectivity and the existence of k-spanners with O(n) edges for graphs and digraphs. We give almost tight bounds of the connectivity of G which guarantees the existence of k-spanners with O(n) edges.

Keywords

Polynomial Time Complete Graph Weighted Graph Chordal Graph Tight Bound 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Shuichi Ueno
    • 1
  • Michihiro Yamazaki
    • 1
  • Yoji Kajitani
    • 1
    • 2
  1. 1.Department of Electrical and Electronic EngineeringTokyo Institute of TechnologyTokyoJapan
  2. 2.School of Information ScienceIshikawaJapan

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