G(2m+1，m)的不可定向强最大亏格

Nonorientable Strong Maximum Genus of G(2m+1,m)

图G的最大亏格指图G能嵌入到亏格为k的曲面的最大整数k.对于广义Petersen图G(2m+1,m),当m≡1,4(mod 6),给出了最大亏格的表达式,对其余情形,给出了不可定向强最大亏格的上界和下界.

Maximum genus k of graph G is the largest integer k such that G can be embedded on the surface of genus k.G（2m＋1,m）is a class of generalized Petersen graph. In this paper,a below bound of^-γsM（2m＋1,m）is given.In particular,if m≡1,4（mod 6）, the nonorientable strong maximum genus is given.