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A note on graphs with diameter-preserving spanning trees

✍ Scribed by Fred Buckley; Martin Lewinter

Publisher: John Wiley and Sons
Year: 1988
Tongue: English
Weight: 182 KB
Volume: 12
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190120408

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✦ Synopsis

The distance between a pair of vertices u, u in a graph G is the length of a shortest path joining u and u. The diameter diam(G) of G is the maximum distance between all pairs of vertices in G. A spanning tree Tof G is diameter preserving if diam(T) = diam(G). In this note, we characterize graphs that have diameter-preserving spanning trees.

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