The generalized minimum spanning tree polytope and related polytopes

P.C. Pop

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Abstract

The Generalized Minimum Spanning Tree problem denoted by GMST is a variant of the classical Minimum Spanning Tree problem in which nodes are partitioned into clusters and the problem calls for a minimum cost tree spanning at least one node from each cluster. A different version of the problem, called E-GMST arises when exactly one node from each cluster has to be visited. Both GMST problem and E-GMST problem are NP-hard problems. In this paper, we model GMST problem and E-GMST problem as integer linear programs and study the facial structure of the corresponding polytopes.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente
Number of pages9
Publication statusPublished - 2001

Publication series

NameMemorandum
PublisherDepartment of Applied Mathematics, University of Twente
No.1587
ISSN (Print)0169-2690

Keywords

  • MSC-05C05
  • MSC-90C11
  • IR-65774
  • MSC-90B10
  • EWI-3407
  • MSC-90C27

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