Matroid rank functions and discrete concavity

Akiyoshi Shioura

研究成果: Article査読

5 被引用数 (Scopus)

抄録

We discuss the relationship between matroid rank functions and a concept of discrete concavity called M-concavity. It is known that a matroid rank function and its weighted version called a weighted rank function are M-concave functions, while the (weighted) sum of matroid rank functions is not M-concave in general.We present a sufficient condition for a weighted sum of matroid rank functions to be an M-concave function, and show that every weighted rank function can be represented as a weighted sum of matroid rank functions satisfying this condition.

本文言語English
ページ(範囲)535-546
ページ数12
ジャーナルJapan Journal of Industrial and Applied Mathematics
29
3
DOI
出版ステータスPublished - 2012 10月

ASJC Scopus subject areas

  • 工学(全般)
  • 応用数学

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