随机聚苯链的基尔霍夫指标

Kirchhoff Index of Random Polyphenyl Chains

连通图G的基尔霍夫指标Kf(G)定义为图G中所有点对之间的电阻距离之和。为了得出随机聚苯链的基尔霍夫指标,利用数学期望的定义及性质,得到一个随机聚苯链的基尔霍夫指标的期望值的精确公式。

The Kirchhoff index of a connected graph was the sum of the resistance distance between all pairs of vertices of the graph.In order to get the Kirchhoff index of random polyphenyl chains,this paper made use of the definition and its linear properties of mathematical expectation,and a simple exact formula for the expected value of the Kirchhoff index of a random polyphenyl chains was consequently obtained.