Title

Solving diameter-constrained minimum spanning tree problems by constraint programming

In

International Transactions in Operational Research

Volume

17

Issue

5

Pages

653–665

Publisher

Wiley

Year

2010

Publisher's URL

Indexed by

Abstract

The diameter-constrained minimum spanning tree problem consists in finding a minimum spanning tree of a given graph, subject to the constraint that the maximum number of edges between any two vertices in the tree is bounded from above by a given constant. This problem typically models network design applications where all vertices communicate with each other at a minimum cost, subject to a given quality requirement. We propose alternative formulations using constraint programming that circumvent weak lower bounds yielded by most mixed-integer programming formulations. Computational results show that the proposed formulation, combined with an appropriate search procedure, solves larger instances and is faster than other approaches in the literature.

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