Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4651951 | Electronic Notes in Discrete Mathematics | 2015 | 8 Pages |
Abstract
Let Sg be the orientable surface of genus g. We show that the number of edge-labelled cubic multigraphs embeddable on Sg with m=3k edges is asymptotically dgγ−mm5/2(g−1)−1m!, where and cg is a constant only dependent on the genus.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics