Packing and covering a tree by subtrees

Abstract

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”.

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Bárány, I., Wolsey, L.A. & Edmonds, J. Packing and covering a tree by subtrees. Combinatorica 6, 221–233 (1986). https://doi.org/10.1007/BF02579383

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AMS subject classification (1980)

  • 68 E 10
  • 05 C 05
  • 05 B 40