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The fan graph is determined by its signless Laplacian spectrum

Muhuo Liu; Yuan Yuan; Kinkar Chandra Das — 2020

Czechoslovak Mathematical Journal

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 $Q$ -DS. In this paper we show that every fan graph $F_{n}$ is $Q$ -DS, where $F_{n} = K_{1} \lor P_{n - 1}$ and $n \geq 3$ .

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