English

On the Caratheodory rank of polymatroid bases

Optimization and Control 2010-03-05 v1 Combinatorics

Abstract

In this paper we prove that the Carath\'eodory rank of the set of bases of a (poly)matroid is upper bounded by the cardinality of the ground set.

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Cite

@article{arxiv.1003.1079,
  title  = {On the Caratheodory rank of polymatroid bases},
  author = {Dion Gijswijt and Guus Regts},
  journal= {arXiv preprint arXiv:1003.1079},
  year   = {2010}
}

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7 pages