[UTMD-054] Shapley–Folkman-type Theorem for Integrally Convex Sets (by Kazuo Murota, Akihisa Tamura)

Author

Kazuo Murota, Akihisa Tamura

Abstract

The Shapley–Folkman theorem is a statement about the Minkowski sum of (non-convex) sets, expressing the closeness of the Minkowski sum to convexity in a quantitative manner. This paper establishes similar theorems for integrally convex sets and M♮-convex sets, which are major classes of discrete convex sets in discrete convex analysis.

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