Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (2): 251-255.

• Articles • Previous Articles     Next Articles

The Classes of Upper Embeddable Graphs With the Same Value of Degree of Vertex Under Modulo    

  

  1. (Department of Mathematics, Hunan Normal University, Changsha 410081)

     

    (Department of Mathematics, Northern Jiaotong University, Beijing 100044)

  • Online:2000-03-03 Published:2000-03-03

Abstract:

Combined with the condition of 4-quadrangle 2-factor, this paper gives classes of upper embeddable graphs whose value of degree of each vertex is 0 or 1, respectively, under modulo 4. Based on the known, results we characterize entirely the upper embeddability of such classes of graphs containing a 4-quadrangle 2-factor.

Key words: Graph, Bettideficiencynumber, Upperembeddable, Maximumgenus.

CLC Number: 

  • 05C75
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