Multiplicative degree‐Kirchhoff index and number of spanning trees of a zigzag polyhex nanotube TUHC[2n, 2]. Issue 17 (29th May 2019)

• Record Type: Journal Article
• Authors: Li, Shuchao; Sun, Wanting; Wang, Shujing
• Is Part Of: International journal of quantum chemistry. Volume 119:Issue 17(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-05-29
• Subjects: multiplicative degree‐Kirchhoff index -- normalized Laplacian -- spanning tree -- zigzag polyhex nanotube -- AMS Classification05C35, 05C12; Quantum chemistry -- Periodicals; 541.28
• DOI: 10.1002/qua.25969
• Languages: English
• ISSNs: 0020-7608

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 . Abstract :