Minimal energy of unicyclic graphs of a given diameter

被引：0
作者：
Feng Li
Bo Zhou
机构：
[1] South China Agricultural University,Department of Applied Mathematics, College of Science
[2] South China Normal University,Department of Mathematics
来源：
Journal of Mathematical Chemistry | 2008年 / 43卷
关键词：
energy; diameter; unicyclic graphs; characteristic polynomial; 05C50; 05C35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The energy of a graph is defined as the sum of the absolute values of all the eigenvalues of the graph. For a given positive integer d with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3\leqslant d\leqslant n-2$$\end{document}, we characterize the graphs with minimal energy in the class of unicyclic graphs with n vertices and a given diameter d.
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页码：476 / 484
页数：8
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