两类项链图在射影平面上的嵌入

摘要

图在不同亏格曲面上的嵌入往往有相关关系,因此,分析一些图类在低亏格曲面上的嵌入是一项有意义的工作,有助于最终确定图的亏格分布和完全亏格分布.该文利用刘彦佩教授提出的嵌入的联树模型得出了两类项链图在射影平面上的嵌入特征和嵌入个数.%Embedding numbers of graphs on distinct genus surfaces are always related. There fore analyzing embedding numbers of graphs on lower genus surfaces is important to determine their genus distributions and their total genus distributions. Based on the model of joint tree introduced by Professor Liu, this paper calculates the embedding numbers of two types of necklace graphs on the projective plane.