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Ars Combinatoria

  • Research article

Orientable Embedding Distributions by Genus for Certain Type of Non-Planar Graphs \((I)\)

Liangxia Wan1, Yanpei Liu1
1Department of Mathematics Beijing Jiaotong University, Beijing 100044, P.R.China
  • Published: 30/04/2006

Abstract

We introduce certain types of surfaces \(M_j^n\), for \(j = 1,2,\ldots,11\) and determine their genus distributions. At the basis of joint trees introduced by Liu, we develop the surface sorting method to calculate the embedding distribution by genus.

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Citation
Liangxia Wan, Yanpei Liu. Orientable Embedding Distributions by Genus for Certain Type of Non-Planar Graphs \((I)\)[J], Ars Combinatoria, Volume 079. 97-105. .