Signless Laplacian spectral characterization of some graphs

Rakshith B. R

Signless Laplacian spectral characterization of some graphs

Combinatorics 2019-12-10 v2

Authors: Rakshith B. R

Abstract

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 $\bar{K_{1,3}\cup K_{2}\cup (n-6)K_{1}}$ .

Keywords

signless laplacian spectrum spectral characterization star components join graph q-cospectral mate

Cite

@article{arxiv.1912.02378,
  title  = {Signless Laplacian spectral characterization of some graphs},
  author = {Rakshith B. R},
  journal= {arXiv preprint arXiv:1912.02378},
  year   = {2019}
}

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