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Some results on spanning trees

✍ Scribed by Bing Yao; Zhong-fu Zhang; Jian-fang Wang


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
211 KB
Volume
26
Category
Article
ISSN
0168-9673

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We study the approximability of some problems which aim at finding spanning trees in undirected graphs which maximize, rather than minimize, a single objective function representing a form of benefit or usefulness of the tree. We prove that the problem of finding a spanning tree which maximizes the

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In this paper, we introduce the problem of computing a minimum edge ranking spanning tree (MERST); i.e., find a spanning tree of a given graph G whose edge ranking is minimum. Although the minimum edge ranking of a given tree can be computed in polynomial time, we show that problem MERST is NP-hard.