On the spectral characterization of kite graphs

Year 2016, Volume: 3 Issue: 2, 81 - 90, 15.05.2016

Sezer Sorgun , Hatice Topcu

https://doi.org/10.13069/jacodesmath.01767

Cited By: 2

Abstract

The Kite graph, denoted by $Kite_{p,q}$ is obtained by appending a complete graph $K_{p}$ to a pendant vertex of a path $P_{q}$. In this paper, firstly we show that no two non-isomorphic kite graphs are cospectral w.r.t the adjacency matrix. Let $G$ be a graph which is cospectral with $Kite_{p,q}$ and let $w(G)$ be the clique number of $G$. Then, it is shown that $w(G)\geq p-2q+1$. Also, we prove that $Kite_{p,2}$ graphs are determined by their adjacency spectrum.

Keywords

Kite graph , Cospectral graphs , Clique number , Determined by adjacency spectrum

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