Algebraic connectivity of Kronecker products of line graphs

被引：0

作者：

Chauhan, Shivani ^{[1
]}

Reddy, A. Satyanarayana ^{[1
]}

机构：

[1] Shiv Nadar Inst Eminence, Dept Math, Greater Noida 201314, Uttar Pradesh, India

来源：

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2024年 / 16卷 / 06期

关键词：

Tree; line graph; Kronecker product of graph; Laplacian matrix; algebraic connectivity; SIGNLESS LAPLACIAN; SPECTRAL THEORY; MATRICES;

D O I：

10.1142/S1793830923500751

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a tree with n vertices and L(X) be its line graph. In this work, we completely characterize the trees for which the algebraic connectivity of L(X) x K-m is equal to m - 1, where x denotes the Kronecker product. We provide a few necessary and sufficient conditions for L(X) x K-m to be Laplacian integral. The algebraic connectivity of L(X) x K-m, where X is a tree of diameter 4 and k-book graph is discussed.

引用

页数：16

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