NOTE ON MINKOWSKI SUMMATION AND UNIMODULARITY IN DISCRETE CONVEX ANALYSIS

Kazuo Murota, Akihisa Tamura

Research output: Contribution to journalArticlepeer-review

Abstract

This short note gives an elementary alternative proof for a theorem of Danilov and Koshevoy on Minkowski summation and unimodularity in discrete convex analysis. It is intended to disseminate this fundamental theorem and make its proof accessible to researchers in optimization and operations research.

Original languageEnglish
Pages (from-to)126-134
Number of pages9
JournalJournal of the Operations Research Society of Japan
Volume67
Issue number4
DOIs
Publication statusPublished - 2024 Oct

Keywords

  • Discrete optimization
  • M ♮-convex set
  • Minkowski sum
  • discrete convex analysis
  • unimodular matrix

ASJC Scopus subject areas

  • General Decision Sciences
  • Management Science and Operations Research

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