COPIES OF A ROOTED WEIGHTED GRAPH ATTACHED TO AN ARBITRARY WEIGHTED GRAPH AND APPLICATIONS

被引:0
|
作者
Cardoso, Domingos M. [1 ]
Martins, Enide A. [1 ]
Robbiano, Maria [2 ]
Rojo, Oscar [2 ]
机构
[1] Univ Aveiro, CIDMA, Dept Matemat, P-3800 Aveiro, Portugal
[2] Univ Catolica Norte, Dept Matemat, Antofagasta, Chile
来源
关键词
Weighted graph; Generalized Bethe tree; Laplacian matrix; Signless Laplacian matrix; Adjacency matrix; Randic matrix; SIGNLESS LAPLACIAN;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The spectrum of the Laplacian, signless Laplacian and adjacency matrices of the family of the weighted graphs R {H}, obtained from a connected weighted graph R on r vertices and r copies of a modified Bethe tree H by identifying the root of the i-th copy of H with the i-th vertex of R, is determined.
引用
收藏
页码:706 / 717
页数:12
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