【摘要】 电阻距离这一概念是由Klein和Randic引入的,一个图的Kirchhoff指标定义为G中所有点对的电阻距离和.满载双圈图是指圈上的所有点的度数不小于3的双圈图.该文给出了满载双圈图的最大,最小Kirchhoff指标并刻画出了与之相对应的极图.更多还原

【Abstract】 The concept of resistance distance was introduced by Klein and Randic.The Kirchhoff index Kf(G)of a graph Gis the sum of resistance distances between all pairs of vertices.A fully loaded bicyclic graph is a bicyclic graph with the property that there is no vertex with degree less than 3in its two cycles.In this paper,the Kirchhoff index of loaded bicyclic graph is calculated,and the extremal graphs with minimal and maximal Kirchhoff index among all fully loaded bicyclic graph are characterized.更多还原