, Volume 6, Issue 3, pp 221–233 | Cite as

Packing and covering a tree by subtrees

  • I. Bárány
  • L. A. Wolsey
  • J. Edmonds


For two polyhedra associated with packing subtrees of a tree, the structure of the vertices is described, and efficient algorithms are given for optimisation over the polyhedra. For the related problem of covering a tree by subtrees, a reduction to a packing problem, and an efficient algorithm are presented when the family of trees is “fork-free”.

AMS subject classification (1980)

68 E 10 05 C 05 05 B 40 


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Copyright information

© Akadémiai Kiadó 1986

Authors and Affiliations

  • I. Bárány
    • 1
  • L. A. Wolsey
    • 2
  • J. Edmonds
    • 3
  1. 1.Mathematical Institute of the Hungarian Academy of SciencesHungary
  2. 2.Center Op. Res, EconometricsUniversité Catholique de LouvainLouvain-la-NeuveBelgium
  3. 3.Dept. of Combinatorics and OptimizationUniversity of WaterlooOntarioCanada

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