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Multiplicative degree‐Kirchhoff index and number of spanning trees of a zigzag polyhex nanotube TUHC [2 n , 2]
Author(s) -
Li Shuchao,
Sun Wanting,
Wang Shujing
Publication year - 2019
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.25969
Subject(s) - zigzag , multiplicative function , hexagonal crystal system , mathematics , degree (music) , combinatorics , index (typography) , invariant (physics) , chain (unit) , geometry , mathematical analysis , physics , mathematical physics , crystallography , chemistry , quantum mechanics , computer science , world wide web , acoustics
Let L n denote the linear hexagonal chain containing n hexagons. Then identifying the opposite lateral edges of L n in ordered way yields TUHC [2 n , 2] , the zigzag polyhex nanotube, whereas identifying those of L n in reversed way yields M n , 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 [2 n , 2] , respectively. Then we show that the multiplicative degree‐Kirchhoff index of TUHC [2 n , 2] is approximately one‐third of its Gutman index. Based on these obtained results we can at last get the corresponding results for M n .