Multiplicative degree-Kirchhoff index and number of spanning trees of a zigzag polyhex nanotube TUHC[2n, 2] |
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Authors: | Shuchao Li Wanting Sun Shujing Wang |
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Affiliation: | School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei, China |
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Abstract: | Let Ln denote the linear hexagonal chain containing n hexagons. Then identifying the opposite lateral edges of Ln in ordered way yields TUHC[2n, 2] , the zigzag polyhex nanotube, whereas identifying those of Ln in reversed way yields Mn, the hexagonal Möbius chain. In this article, we first obtain the explicit formulae of the multiplicative degree-Kirchhoff index, the Kemeny's invariant, the total number of spanning trees of TUHC[2n, 2] , respectively. Then we show that the multiplicative degree-Kirchhoff index of TUHC[2n, 2] is approximately one-third of its Gutman index. Based on these obtained results we can at last get the corresponding results for Mn. |
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Keywords: | multiplicative degree-Kirchhoff index normalized Laplacian spanning tree zigzag polyhex nanotube AMS Classification05C35, 05C12 |
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