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- W2492201075 abstract "Let $G[F,V_k,H_v]$ be the graph with $k$ pockets, where $F$ is a simple graph of order $ngeq1$, $V_k={v_1,ldots,v_k}$ is a subset of the vertex set of $F$ and $H_v$ is a simple graph of order $mgeq2$, $v$ is a specified vertex of $H_v$. Also let $G[F,E_k,H_{uv}]$ be the graph with $k$ edge-pockets, where $F$ is a simple graph of order $ngeq2$, $E_k={e_1,ldots,e_k}$ is a subset of the edge set of $F$ and $H_{uv}$ is a simple graph of order $mgeq3$, $uv$ is a specified edge of $H_{uv}$ such that $H_{uv}-u$ is isomorphic to $H_{uv}-v$. In this paper, we obtain some results describing the signless Laplacian spectra of $G[F,V_k,H_v]$ and $G[F,E_k,H_{uv}]$ in terms of the signless Laplacian spectra of $F,H_v$ and $F,H_{uv}$, respectively. In addition, we also give some results describing the adjacency spectrum of $G[F,V_k,H_v]$ in terms of the adjacency spectra of $F,H_v$. Finally, as an application of these results, we construct infinitely many pairs of signless Laplacian (resp. adjacency) cospectral graphs." @default.
- W2492201075 created "2016-08-23" @default.
- W2492201075 creator A5010521027 @default.
- W2492201075 creator A5042565136 @default.
- W2492201075 date "2014-05-01" @default.
- W2492201075 modified "2023-10-16" @default.
- W2492201075 title "The spectra and the signless Laplacian spectra of graphs with pockets" @default.
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- W2492201075 doi "https://doi.org/10.48550/arxiv.1405.0096" @default.
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