On 2-equitable graphs

被引：1
|
作者：
Lu, Lu [1 ]
Huang, Qiongxiang [2 ]
Feng, Lihua [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Equitable partition; eigenvalues; good partition; 2; SINGULAR-VALUES; REGULAR GRAPHS; COMBINATORIAL DESIGNS;
D O I：
10.1080/03081087.2020.1791032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let pi be an equitable partition of a graphGwithkcells. IfGhas no equitable partition with fewer cells than pi, then pi is called a minimal partition ofGandGis called ak-equitable graph. It is clear that 1-equitable graphs are regular graphs. In this paper, we investigate 2-equitable graphs with four distinct eigenvalues.
引用
收藏
页码：2187 / 2197
页数：11
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