The Laplacian Spread of Tricyclic Graphs

Author:

Chen Yanqing,Wang Ligong

Abstract

The Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the second smallest eigenvalue of the Laplacian matrix of the graph. In this paper, we investigate Laplacian spread of graphs, and prove that there exist exactly five types of tricyclic graphs with maximum Laplacian spread among all tricyclic graphs of fixed order.

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Algebraic connectivity of the second power of a graph;Journal of Graph Theory;2023-04-10

2. Some results on the Laplacian Spread Conjecture;Linear Algebra and its Applications;2019-08

3. The algebraic connectivity of a graph and its complement;Linear Algebra and its Applications;2018-10

4. Some results on the Laplacian spread of a graph;Linear Algebra and its Applications;2016-09

5. A bound on the Laplacian spread which is tight for strongly regular graphs;Linear Algebra and its Applications;2016-04

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