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- W4308846886 abstract "Abstract Let represent a linear octagonal‐quadrilateral network, consisting of n eight‐member rings and n four‐member rings. Such a graph contains a unique pair of opposite edges. The Möbius graph Q n (8, 4) is constructed by reverse identifying these opposite edges, whereas the cylinder graph Q n ′(8, 4) identifies the opposite edges in the natural manner. In this paper, the explicit formulas for the Kirchhoff index and complexity of Q n (8, 4) and Q n ′(8, 4) are deduced from Laplacian characteristic polynomials using to decomposition theorem and Vieta's theorem. A consequence is the surprising fact that the Kirchhoff index of Q n (8, 4) (resp. Q n ′(8, 4)) is approximately a third (resp. half) of its Wiener index as ." @default.
- W4308846886 created "2022-11-17" @default.
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- W4308846886 date "2022-11-10" @default.
- W4308846886 modified "2023-10-16" @default.
- W4308846886 title "Kirchhoff index and complexity of linear <scp>Möbius</scp> and cylinder octagonal‐quadrilateral networks with respect to <scp>Laplacians</scp>" @default.
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- W4308846886 doi "https://doi.org/10.1002/qua.27037" @default.
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