Enumeration of cubic multigraphs on orientable surfaces

نویسندگان

  • Mihyun Kang
  • Michael Moßhammer
  • Philipp Sprüssel
  • W. Fang
چکیده

Let Sg be the orientable surface of genus g. We show that the number of edgelabelled cubic multigraphs embeddable on Sg with m = 3k edges is asymptotically dgγ −mm5/2(g−1)−1m!, where γ−1 = √ 79 3 2 −1/3 and cg is a constant only dependent on the genus.

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عنوان ژورنال:
  • Electronic Notes in Discrete Mathematics

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2015