Signless Laplacian spectral characterization of graphs with isolated vertices

Author:

Huang Shaobin1,Zhou Jiang2,Bu Changjiang3

Affiliation:

1. Harbin Engineering University, College of Computer Science and Technology, Harbin, PR China

2. Harbin Engineering University, College of Computer Science and Technology, Harbin, PR China + Harbin Engineering University, College of Science, Harbin, PR China

3. Harbin Engineering University, College of Science, Harbin, PR China

Abstract

A graph is said to be DQS if there is no other non-isomorphic graph with the same signless Laplacian spectrum. For a DQS graph G, we show that G ? rK1 is DQS under certain conditions. Applying these results, some DQS graphs with isolated vertices are obtained.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 4 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. Signless Laplacian spectral characterization of some disjoint union of graphs;Indian Journal of Pure and Applied Mathematics;2021-06-14

2. Graphs determined by signless Laplacian spectra;AKCE International Journal of Graphs and Combinatorics;2020-01-02

3. Signless Laplacian determinations of some graphs with independent edges;Carpathian Mathematical Publications;2018-07-03

4. The spectral characterizations of the connected multicone graphs Kw ▽ LHS and Kw ▽ LGQ(3,9);Discrete Mathematics, Algorithms and Applications;2018-04

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