On the Eigenvalues of the Ordinary and Reciprocal Resistance-Distance Matrices

被引：0
|
作者：
Nikolic, Sonja [1 ]
Trinajstic, Nenad [1 ]
Zhou, Bo [2 ]
机构：
[1] Rudjer Boskovic Inst, POB 180, HR-10002 Zagreb, Croatia
[2] South China Normal Univ, Dept Math, Guangzhou 510631, Peoples R China
来源：
COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING, VOL 1: ADVANCES IN COMPUTATIONAL SCIENCE | 2009年 / 1108卷
基金：
中国国家自然科学基金;
关键词：
ordinary resistance-distance matrix; reciprocal resistance-distance matrix; eigenvalues; lower and upper bounds; ZAGREB INDEXES; WIENER; DESCRIPTORS; GRAPHS; QSAR;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The resistance-distance r(ij) between vertices nu(i) and nu(j) of a connected (molecular) graph is equal to the effective resistance between the respective nodes of the electrical network constructed corresponding to the graph such that the resistance of any two adjacent nodes is unity. We provide lower and upper bounds for the largest and smallest eigenvalues of the ordinary resistance-distance matrix (r(ij)) and the reciprocal resistance-distance matrix (rr(ij)) of a connected (molecular) graph.
引用
收藏
页码：205 / +
页数：2
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