An exact algorithm for the maximum leaf spanning tree problem

An exact algorithm for the maximum leaf spanning tree problem

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Article ID: iaor20042831
Country: United Kingdom
Volume: 30
Issue: 13
Start Page Number: 1931
End Page Number: 1944
Publication Date: Nov 2003
Journal: Computers and Operations Research
Authors:
Keywords: graphs
Abstract:

Given a connected graph, the Maximum Leaf Spanning Tree Problem (MLSTP) is to find a spanning tree whose number of leaves (degree-one vertices) is maximum. We propose a branch-and-bound algorithm for MLSTP, in which an upper bound is obtained by solving a minimum spanning tree problem. We report computational results for randomly generated and grid graphs with up to 100 vertices.

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