تقرير
Asymptotic enumeration of labelled graphs with a given genus
| العنوان: | Asymptotic enumeration of labelled graphs with a given genus |
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| المؤلفون: | Bender, E. A., Gao, Z. |
| سنة النشر: | 2009 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 05C30 |
| الوصف: | We enumerate rooted 2-connected and 3-connected surface maps with respect to vertices and edges. We also derive the bivariate version of the large face-width result for random 3-connected maps. These results are then used to derive asymptotic formulas for the number of labelled graphs of genus g (1-connected, 2-connected, and 3-connected graphs.) Comment: 28 pages; corrected, clarified & simplified presentation |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0912.4670 |
| رقم الأكسشن: | edsarx.0912.4670 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |