A branch and cut method for the degree-constrained minimum spanning tree problem

A branch and cut method for the degree-constrained minimum spanning tree problem

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Article ID: iaor20023418
Country: United States
Volume: 37
Issue: 2
Start Page Number: 74
End Page Number: 83
Publication Date: Mar 2001
Journal: Networks
Authors: ,
Keywords: programming: integer
Abstract:

A problem of interest in network design is that of finding, in a given weighted graph, a minimum-weight spanning tree whose vertices satisfy specified degree restrictions. We present a branch and cut solution procedure for this NP-complete problem. Our algorithm is implemented and extensively tested. Computational results on 3150 random table problems ranging from 100 to 800 vertices are presented and discussed.

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