Signless Laplacian spectral characterization of some graphs

In this paper, we investigate (signless) Laplacian spectral characterization of graphs with star components. Also, we prove that the join graph \({\small K_{n-\alpha}-e\vee \alpha K_{1}}\) is \(DQS\) for \(n-\alpha >3\) and \(\alpha\neq3\), and for \(\alpha=3\), we show that its only \(Q\)-cospec...

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Bibliographic Details
Published in:arXiv.org 2019-12
Main Author: Rakshith, B R
Format: Article
Language:English
Subjects:
Graphs
Online Access:Get full text
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Summary:In this paper, we investigate (signless) Laplacian spectral characterization of graphs with star components. Also, we prove that the join graph \({\small K_{n-\alpha}-e\vee \alpha K_{1}}\) is \(DQS\) for \(n-\alpha >3\) and \(\alpha\neq3\), and for \(\alpha=3\), we show that its only \(Q\)-cospectral mate is \(\bar{K_{1,3}\cup K_{2}\cup (n-6)K_{1}}\).
ISSN:2331-8422