文献类型：期刊文献

英文题名：A complete characterization of graphs with exactly two positive eigenvalues

作者：Duan, Fang[1];Huang, Qiongxiang[2];Huang, Xueyi[3];Stanic, Zoran[4];Wang, Jianfeng[5]

机构：[1]Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Peoples R China;[2]Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China;[3]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China;[4]Univ Belgrade, Fac Math, Studentski Trg 16, Belgrade, Serbia;[5]Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Peoples R China

年份：2023

卷号：144

外文期刊名：ADVANCES IN APPLIED MATHEMATICS

收录：;EI(收录号：20224713148532);WOS:【SCI-EXPANDED(收录号:WOS:000895026900001)】；

基金：Qiongxiang Huang and Jianfeng Wang are supported by the National Natural Science Foundation of China (Grant No. 11971274) and Jianfeng Wang is also supported by the Special Fund for Taishan Scholars Project. Zoran Stanic is supported by the Science Fund of the Republic of Serbia; grant number 7749676: Spectrally Constrained Signed Graphs with Applications in Coding Theory and Control Theory -SCSG-ctct.

语种：英文

外文关键词：Congruent vertex; Positive (negative) inertia index; Nullity; Forbidden subgraph

摘要：In 1977, Smith has characterized graphs with exactly one posi-tive eigenvalue. Since then, many particular results related to graphs with exactly two positive eigenvalues have emerged. In this paper we conclude this investigation by giving a full characterization of these graphs.(c) 2022 Published by Elsevier Inc.