Normalized distance Laplacian matrices for signed graphs

被引：0
|
作者：
Roy, Roshni T. [1 ]
Germinal, K. A. [1 ]
Hameed, Shahul K. [2 ]
机构：
[1] Cent Univ Kerala, Dept Math, Kasaragod 671316, Kerala, India
[2] KMM Govt Womens Coll, Dept Math, Kannur 670004, Kerala, India
来源：
COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION | 2023年 / 8卷 / 03期
关键词：
Signed graphs; Weighted signed graphs; Normalized distance Laplacian matrix; Normalized distance Laplacian spectrum; EIGENVALUES;
D O I：
10.22049/CCO.2022.27514.1282
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of normalized distance Laplacian matrices for signed graphs corresponding to the two signed distances defined for signed graphs. We characterize balance in signed graphs using these matrices and compare the normalized distance Laplacian spectral radius of signed graphs with that of all-negative signed graphs. Also we characterize the signed graphs having maximum normalized distance Laplacian spectral radius.
引用
收藏
页码：445 / 456
页数：12
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