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Section A

A linear time algorithm to construct a tree 4-spanner on trapezoid graphs

, &
Pages 743-755 | Published online: 16 Sep 2008
 

Abstract

In a graph G, a spanning tree T is said to be a tree t-spanner of the graph G if the distance between any two vertices in T is at most t times their distance in G. The tree t-spanner has many applications in networks and distributed environments. In this paper, we present an algorithm to find a tree 4-spanner on trapezoid graphs in O(n) time, where n is the number of vertices.

2000 AMS Subject Classification :

Acknowledgements

The authors are grateful to the referee for his/her suggestions in improving the quality and presentation of the paper.

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