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- W4310234049 abstract "In this paper, we study structural properties of Toeplitz graphs. We characterize $K_q$-free Toeplitz graphs for an integer $q ge 3$ and give equivalent conditions for a Toeplitz graph $G_nlangle t_1, t_2,ldots, t_krangle$ with $t_1<cdots<t_k$ and $n ge t_{k-1}+t_{k}$ being chordal and equivalent conditions for a Toeplitz graph $G_nlangle t_1,t_2 rangle$ being perfect. Then we compute the edge clique cover number and the vertex clique cover number of a chordal Toeplitz graph. Finally, we characterize the degree sequence $(d_1,d_2,ldots,d_n)$ of a Toeplitz graph with $n$ vertices and show that a Toeplitz graph is a regular graph if and only if it is a circulant graph." @default.
- W4310234049 created "2022-11-30" @default.
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- W4310234049 date "2021-12-28" @default.
- W4310234049 modified "2023-09-30" @default.
- W4310234049 title "Structural properties of Toeplitz graphs" @default.
- W4310234049 doi "https://doi.org/10.48550/arxiv.2112.14371" @default.
- W4310234049 hasPublicationYear "2021" @default.
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