【摘要】 计算外平面图的亏格分布是拓扑图论关注的一个问题.本文考虑一类5-正则外平面图O_n的亏格分布.由n个基础图（R₁,p,q）迭代粘合可得到一条开放链（R_n,p,q）,对图（R_n,p,q）进行修改的加边运算可得到图O_n.本文利用根-图得到了图（R_n,p,q）的部分亏格分布与图O_n的亏格分布的迭代计算公式.更多还原

【Abstract】 Calculating the genus distributions of outerplanar graphs is a concerned topic in topological graph theory.In this paper,we concider the genus distribution for a type of 5-regular outerplanar graph O_n.Using rooted-graphs,we derive simultaneous recursions for the partial genus distribution of the graph（R_n,p,q） constructed by an open chain of n copies of a base graph（R₁,p,q）,and a recursion formula for the genus distribution of the graphs O_n formed by modified edge-addition on（R_n,p,q）.更多还原