Authors
Andréa Cynthia Santos, Celso Carneiro Ribeiro, Abilio Lucena,
Title
Solving diameter constrained minimum spanning trees problems in dense graphs
In
Experimental and Efficient Algorithms, Lecture Notes in Computer Science (LNCS)
Volume
3059
Pages
458–467
Publisher
Springer Berlin Heidelberg
Year
2004
Publisher's URL
http://link.springer.com/chapter/10.1007%2F978-3-540-24838-5_34
Indexed by
Abstract
In this study, a lifting procedure is applied to some existing formulations of the Diameter Constrained Minimum Spanning Tree Problem. This problem typically models network design applications where all vertices must communicate with each other at minimum cost, while meeting or surpassing a given quality requirement. An alternative formulation is also proposed for instances of the problem where the diameter of feasible spanning trees can not exceed given odd numbers. This formulation dominated their counterparts in this study, in terms of the computation time required to obtain proven optimal solutions. First ever computational results are presented here for complete graph instances of the problem. Sparse graph instances as large as those found in the literature were solved to proven optimality for the case where diameters can not exceed given odd numbers. For these applications, the corresponding computation times are competitive with those found in the literature.
Affiliations
Offprint