The complement of the path is determined by its spectrum

被引:48
作者
Doob, M
Haemers, WH [2 ]
机构
[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
[2] Tilburg Univ, Dept Econometr & OR, Tilburg, Netherlands
关键词
paths; cospectral graphs;
D O I
10.1016/S0024-3795(02)00323-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is proved that a graph whose (0,1)-adjacency matrix has the spectrum of (P-n) over bar, the complement of the path on n vertices, must be (P-n) over bar. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:57 / 65
页数:9
相关论文
共 3 条
[1]  
[Anonymous], 1997, ENCY MATH ITS APPL
[2]  
BONDY J. A., 1995, HDB COMBINATORICS
[3]  
Cvetkovic D., 1995, Spectra of Graphs-Theory and Application, V3rd ed.