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Exchange Properties of M-natural-concave Set Functions and Valuated Matroids

Combinatorics 2021-06-01 v1

Abstract

This is a survey article on the exchange properties characterizing M-natural-concave set functions and valuated matroids (M-concave set functions). The objective of this paper is to collect related results scattered in the literature and to give (reasonably) self-contained elementary proofs for them.

Keywords

Cite

@article{arxiv.2105.14228,
  title  = {Exchange Properties of M-natural-concave Set Functions and Valuated Matroids},
  author = {Kazuo Murota},
  journal= {arXiv preprint arXiv:2105.14228},
  year   = {2021}
}

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22 pages