Geodesic
The fan graph is determined by its signless Laplacian spectrum
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 1, pp. 21-31

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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 $n\geq 3$.
DOI : 10.21136/CMJ.2019.0159-18
Classification : 05C50, 15A18
Keywords: signless Laplacian spectrum; join graph; graph determined by its spectrum 
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Liu, Muhuo; Yuan, Yuan; Chandra Das, Kinkar. The fan graph is determined by its signless Laplacian spectrum. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 1, pp. 21-31. doi: 10.21136/CMJ.2019.0159-18

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