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math.CO2022★ 2 cited
Discrete Convex Analysis: A Tool for Economics and Game Theory
Kazuo Murota
This paper presents discrete convex analysis as a tool for economics and game theory. Discrete convex analysis is a new framework of discrete mathematics and optimization, develope…
math.CO2022
Recent Progress on Integrally Convex Functions
Kazuo Murota, Akihisa Tamura
Integrally convex functions constitute a fundamental function class in discrete convex analysis, including M-convex functions, L-convex functions, and many others. This paper aims…
math.CO2022
Decreasing Minimization on Base-Polyhedra: Relation Between Discrete and Continuous Cases
András Frank, Kazuo Murota
This paper is concerned with the relationship between the discrete and the continuous decreasing minimization problem on base-polyhedra. The continuous version (under the name of l…