Multiplicative degree‐Kirchhoff index and number of spanning trees of a zigzag polyhex nanotube <i>TUHC</i>[2<i>n</i>, 2]

Abstract

Abstract 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 .