تقرير
Inclusion and Intersection Relations Between Fundamental Classes of Discrete Convex Functions
| العنوان: | Inclusion and Intersection Relations Between Fundamental Classes of Discrete Convex Functions |
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| المؤلفون: | Moriguchi, Satoko, Murota, Kazuo |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 52A41, 90C27, 90C25 |
| الوصف: | In discrete convex analysis, various convexity concepts are considered for discrete functions such as separable convexity, L-convexity, M-convexity, integral convexity, and multimodularity. These concepts of discrete convex functions are not mutually independent. For example, M-natural-convexity is a special case of integral convexity, and the combination of L-natural-convexity and M-natural-convexity coincides with separable convexity. This paper aims at a fairly comprehensive analysis of the inclusion and intersection relations for various classes of discrete convex functions. Emphasis is put on the analysis of multimodularity in relation to L-natural-convexity and M-natural-convexity. Comment: 36 pages. arXiv admin note: text overlap with arXiv:1907.09161 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2111.07240 |
| رقم الأكسشن: | edsarx.2111.07240 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |