Acta mathematica scientia,Series A

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On the Roots on Orientable Embeddings of Graph

 MAO Lin-Fan, LIU Yan-Pei   

  1. 中国科学院数学与系统科学研究院 北京 100080 

    北方交通大学应用数学所 北京 100044
  • Online:2003-06-25 Published:2003-06-25
  • Supported by:

    国家自然科学基金资助(Grant No.69973001)

Abstract:

For a given family G of graphs, how many rooted maps on surfaces with underlying graph in G?  The authors obtain an answer for th is problem in orientable case and a new method to get the enufunction f^r(M) by using the  automorphism groups of these graphs in this paper.

Key words: Graph;Map;Embedding;Automorphism group;Root polynomial

CLC Number: 

  • 05C10
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