REGULAR GRAPHS WITH SMALL SECOND LARGEST EIGENVALUE

被引:6
|
作者
Koledin, Tamara [1 ]
Stanic, Zoran [2 ]
机构
[1] Univ Belgrade, Fac Elect Engn, Belgrade 11000, Serbia
[2] Univ Belgrade, Fac Math, Belgrade 11000, Serbia
关键词
Graph spectrum; regular graphs; bounded eigenvalues; triangle-free graphs; bipartite graphs;
D O I
10.2298/AADM130710013K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider regular graphs with small second largest eigenvalue (denoted by lambda(2)). In particular, we determine all triangle-free regular graphs with lambda(2) <= root 2 all bipartite regular graphs with lambda(2) <= root 3 and all bipartite regular graphs of degree 3 with lambda(2) <= 2.
引用
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页码:235 / 249
页数:15
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