A NOTE ON STRONG EMBEDDINGS OF MAXIMAL PLANAR GRAPHS ON NON ORIENTABLE SURFACES

被引:0
作者
Liu Tongyin Liu Yanpei Dept.ofMath.
机构
关键词
Surface; strong embedding; maximal planar graph;
D O I
暂无
中图分类号
O157.5 [图论];
学科分类号
070104 ;
摘要
In this paper, it is shown that for every maximal planar graph G=(V,E) , a strong embedding on some non orientable surface with genus at most |V(G)|-22 is admitted such that the surface dual of G is also a planar graph. As a corollary, an interpolation theorem for strong embeddings of G on non orientable surfaces is obtained.
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页码:111 / 114
页数:4
相关论文
共 3 条
  • [1] Liu,Y. P.Maximum nonorientable genus of a graph, Scientia Sinica, Special Issue on Math. I . 1979
  • [2] Zhang,C. Q.Cycle cover theorems and their applications. Contemporary Mathematics . 1993
  • [3] Zha,X.Closed 2-cell embeddings of 5-crosscap embeddable graphs, European J. Combinatorica . 1997