Chinese Quarterly Journal of Mathematics ›› 1998, Vol. 13 ›› Issue (3): 1-11.

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A Combinatorial Approach for Topological Classification of Graphlike Manifolds

  

  1. Department of Mathematics,Zhengzhou University,Zhengzhou,450052
  • Received:1998-06-27 Online:1998-09-30 Published:2024-10-21
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

Abstract:  The concept of graphlike manifolds was presented in [1] and the problem of counting the homeomorphic classes of graphlike manifolds has been studied in a series of articles,e.g.,[1~8].In this paper we suggest an approach based on the graph colouring,Abelian group and the combinatorial enumeration method.

Key words:  , graphlike manifold;graph colouring;equivalence classes;enumeration

CLC Number: