Some Topological Invariants of Generalized Möbius Ladder [article]

Numan Amin, Abdul Rauf Nizami, Muhammad Idrees
2017 arXiv   pre-print
The Hosoya polynomial of a graph G was introduced by H. Hosoya in 1988 as a counting polynomial, which actually counts the number of distances of paths of different lengths in G. The most interesting application of the Hosoya polynomial is that almost all distance-based graph invariants, which are used to predict physical, chemical and pharmacological properties of organic molecules, can be recovered from it. In this article we give the general closed form of the Hosoya polynomial of the
more » ... ized Möbius ladder M(m,n) for arbitrary m and for n=3. Moreover, we recover Wiener, hyper Wiener, Tratch-Stankevitch-Zefirov, and Harary indices from it.
arXiv:1708.09260v1 fatcat:mjmu2oraabe35oxx425oioziiu