Kite graphs determined by their spectra

被引:13
作者
Das, Kinkar Ch. [1 ]
Liu, Muhuo [2 ]
机构
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
[2] South China Agr Univ, Dept Math, Guangzhou 510642, Guangdong, Peoples R China
基金
新加坡国家研究基金会;
关键词
Kite graph; (Signless) Laplacian spectrum; Distance spectrum; SIGNLESS LAPLACIAN; CLIQUE NUMBER; RADIUS; EIGENVALUES;
D O I
10.1016/j.amc.2016.10.032
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A kite graph Ki(n,omega) is a graph obtained from a clique K-omega and a path Pn-omega by adding an edge between a vertex from the clique and an endpoint from the path. In this note, we prove that Ki(n,n-1) is determined by its signless Laplacian spectrum when n not equal 5 and n >= 4, and Ki(n,n-1) is also determined by its distance spectrum when n >= 4. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:74 / 78
页数:5
相关论文
共 18 条
[1]  
Abdo H, 2014, MATCH-COMMUN MATH CO, V72, P741
[2]  
[Anonymous], 1985, Matrix Analysis
[3]   Signless Laplacians of finite graphs [J].
Cvetkovic, Dragos ;
Rowlinson, Peter ;
Simic, Slobodan K. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 423 (01) :155-171
[4]   Complete split graph determined by its (signless) Laplacian spectrum [J].
Das, Kinkar Ch. ;
Liu, Muhuo .
DISCRETE APPLIED MATHEMATICS, 2016, 205 :45-51
[5]   Proof of conjectures on adjacency eigenvalues of graphs [J].
Das, Kinkar Ch .
DISCRETE MATHEMATICS, 2013, 313 (01) :19-25
[6]   ZUSAMMENHANG VON GRAPHENTHEORIE UND MO-THEORIE VON MOLEKELN MIT SYSTEMEN KONJUGIERTER BINDUNGEN [J].
GUNTHARD, HH ;
PRIMAS, H .
HELVETICA CHIMICA ACTA, 1956, 39 (06) :1645-1653
[7]   Complete multipartite graphs are determined by their distance spectra [J].
Jin, Ya-Lei ;
Zhang, Xiao-Dong .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 448 :285-291
[8]   On the distance spectrum of graphs [J].
Lin, Huiqiu ;
Hong, Yuan ;
Wang, Jianfeng ;
Shu, Jinlong .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (06) :1662-1669
[9]  
Liu MH, 2014, LINEAR ALGEBRA APPL, V449, P154, DOI 10.1016/j.laa.2014.02.027
[10]   The signless Laplacian spread [J].
Liu, Muhuo ;
Liu, Bolian .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (2-3) :505-514