تقرير
A 2-Person Game Decomposing 2-Manifolds
| العنوان: | A 2-Person Game Decomposing 2-Manifolds |
|---|---|
| المؤلفون: | Berman, David R., Leonard, Lee O. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Mathematics - Geometric Topology |
| الوصف: | Two players play a game by alternately splitting a surface of a compact $2$-manifold along a simple closed curve that is not null-homotopic and attaching disks to the resulting boundary; the last player who can move wins. Starting from an orientable surface, the $G$-series is $01\dot{2}\dot{0}$ according to increasing genus. Starting from a nonorientable surface, the $G$-series is $012\dot{4}60\dot{3}$ according to increasing genus. Nim addition determines the $G$-values of the remaining compact $2$-manifolds. Comment: 12 pages. To be submitted to the Bulletin of The Institute for Combinatorics and its Applications |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.00816 |
| رقم الأكسشن: | edsarx.2407.00816 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |