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• W2953292008 abstract "Let $G_n$ be a graph obtained by the strong product of $P_2$ and $C_n$, where $ngeqslant3$. In this paper, explicit expressions for the Kirchhoff index, multiplicative degree-Kirchhoff index and number of spanning trees of $G_n$ are determined, respectively. It is surprising to find that the Kirchhoff (resp. multiplicative degree-Kirchhoff) index of $G_n$ is almost one-sixth of its Wiener (resp. Gutman) index. Moreover, let $mathcal{G}^r_n$ be the set of subgraphs obtained from $G_n$ by deleting any $r$ vertical edges of $G_n$, where $0leqslant rleqslant n$. Explicit formulas for the Kirchhoff index and the number of spanning trees for any graph $G^r_nin mathcal{G}^r_{n}$ are completely established, respectively. Finally, it is interesting to see that the Kirchhoff index of $G^r_n$ is almost one-sixth of its Wiener index." @default.
• W2953292008 created "2019-06-27" @default.
• W2953292008 creator A5018144399 @default.
• W2953292008 creator A5069485313 @default.
• W2953292008 date "2019-06-11" @default.
• W2953292008 modified "2023-09-27" @default.
• W2953292008 title "Resistance distance-based graph invariants and spanning trees of graphs derived from the strong product of $P_2$ and $C_n$" @default.
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