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On the spectral characterization of kite graphs
2016
Journal:  
Journal of Algebra Combinatorics Discrete Structures and Applications
Author:  
DOI:  
10.13069/jacodesmath.01767
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.

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Journal of Algebra Combinatorics Discrete Structures and Applications

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

Metrics
Article : 169
Cite : 4
Details
Journal of Algebra Combinatorics Discrete Structures and Applications