Eigenvalue-Free Interval for Seidel Matrices of Cographs  

作　　者：Heming NIU Wei WANG 

机构地区：[1]School of Mathematics,Physics and Finance,Anhui Polytechnic University,Anhui 241000,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2025年第1期1-10,共10页数学研究及应用(英文版)

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12001006);the Natural Science Foundation of Universities of Anhui Province(Grant No.2023AH050904).

摘　　要：The distribution of Seidel eigenvalues of cographs is investigated in this paper.We prove that there is no Seidel eigenvalue of nontrivial cographs in the interval(−1,1).We also show the optimality of the interval(−1,1)in the sense that for any ε>0 either of the intervals(1,1+ε)and(−1−ε,−1)contains a Seidel eigenvalue of some cograph of order n when n is sufficiently large.

关 键 词：COGRAPH Seidel matrix eigenvalue-free interval 

分 类 号：O151.21[理学—数学]