Shapley-Folkman-type Theorem for Integrally Convex Sets

التفاصيل البيبلوغرافية
العنوان: Shapley-Folkman-type Theorem for Integrally Convex Sets
المؤلفون: Murota, Kazuo, Tamura, Akihisa
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 52A41, 90C27, 90C25
الوصف: 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-natural-convex sets, which are major classes of discrete convex sets in discrete convex analysis.
Comment: 13 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2305.15125
رقم الأكسشن: edsarx.2305.15125
قاعدة البيانات: arXiv