تقرير
A new view of hypercube genus
| العنوان: | A new view of hypercube genus |
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| المؤلفون: | Hammack, Richard H., Kainen, Paul C. |
| المصدر: | American Math. Monthly 128 (4) (2021) 352-359 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 05C10, 05C51, 57M15 |
| الوصف: | Beineke, Harary and Ringel discovered a formula for the minimum genus of a torus in which the $n$-dimensional hypercube graph can be embedded. We give a new proof of the formula by building this surface as a union of certain faces in the hypercube's 2-skeleton. For odd dimension $n$, the entire 2-skeleton decomposes into $(n-1)/2$ copies of the surface, and the intersection of any two copies is the hypercube graph. Comment: 8 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1080/00029890.2020.1867472 |
| URL الوصول: | http://arxiv.org/abs/2401.00070 |
| رقم الأكسشن: | edsarx.2401.00070 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1080/00029890.2020.1867472 |
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