paper

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

arXiv:2105.14228

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.

22 pages