根点自粘合后图的亏格分布

Genus Distribution of Graph Self-Amalgamations

利用删点、加边原理,多种乘法法则,自粘合定理给出了一个双根图在其中一个根点的度为任意大的情形下根点自粘合后图的亏格分布,推广了Gross在文[Genus distribution of graph amalgamations:self-pasting at root-vertices,Aust.J.Comb.,2011,49:19-38]中"两个根点度均为2"的类似结果.

The genus distribution of a double-rooted graph whose one root has arbitrary degree after self-pasting at root vertices have been derived,by applying vertexdeleting,edge-addition theorem,multiple production rules and self-amalgamation theorem.And analogous results of ＂two roots are two-degree＂ in literature[Genus distribution of graph amalgamations：self-pasting at root-vertices,Aust.J.Comb.,2011,49：19-38]had been provided by Gross have been generalized.