More on discrete convexity

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Authors: Vladimir A. Gurvich, Mariya Naumova
Cited by: 0
References: 59

Abstract

In several recent papers some concepts of convex analysis were extended to discrete sets. The present paper is one more step in this direction. It is well known that a local minimum of a convex function is always its global minimum. We study some discrete objects that share this property and provide several examples of convex families related to graphs and to two-person games in normal form.

Fields of Study & Subjects

Complexity and Algorithms in Graphs Advanced Combinatorial Mathematics Advanced Graph Theory Research

Publication details

Journal / source
Discrete Applied Mathematics
Volume
385
Pages
146–164
Publication date
30 January 2026
Language
EN