The $M$-Polynomial and Topological Indices of Generalized Möbius Ladder and Its Line Graph

Abstract

The $M$-polynomial was introduced by Deutsch and Klavžar in 2015 as a graph polynomial to provide an easy way to find closed formulas of degree-based topological indices, which are used to predict physical, chemical, and pharmacological properties of organic molecules. In this paper we give general closed forms of the $M$-polynomial of the generalized Möbius ladder and its line graph. We also compute Zagreb Indices, generalized Randić indices, and symmetric division index of these graphs via the $M$-polynomial.

12 pages, 7 figures

References in corpus (1)

• Generalized Möbius Ladder and Its Metric Dimension