The Minimal Spectral Radius with Given Independence Number

被引:0
作者
Jinwon Choi
Jooyeon Park
机构
[1] Sookmyung Women’s University,Department of Mathematics and Research Institute of Natural Science
[2] Sookmyung Women’s University,Department of Mathematics
来源
Results in Mathematics | 2024年 / 79卷
关键词
Spectral radius; independence number; bicyclic graph; 05C50;
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摘要
In this paper, we determine the graphs which have the minimal spectral radius among all the connected graphs of order n and the independence number ⌈n2⌉-1.\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lceil \frac{n}{2}\rceil -1.$$\end{document}
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