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Keywords:
signless Laplacian spectrum; join graph; graph determined by its spectrum
signless Laplacian spectrum; join graph; graph determined by its spectrum
Summary:
Given a graph $G$, if there is no nonisomorphic graph $H$ such that $G$ and $H$ have the same signless Laplacian spectra, then we say that $G$ is \hbox {$Q$-DS}. In this paper we show that every fan graph $F_n$ is \hbox {$Q$-DS}, where $F_{n}=K_{1}\vee P_{n-1}$ and $n\geq 3$.
References:
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