M-polynomial and entropy of para-line graph of naphthalene

Abstract

The objective of this paper is to explore the stability of naphthalene (m, n). For a single unit of naphthalene, its stability is less relative to selfdimerization. For two units of naphthalene, there is a slight increase in stability and self-dimerization decreases as well. However, for (m, n) unit of Naphthalene, its stability increases rapidly and self-dimerization decreases proportionately. The M-Polynomial is extracted from praline graph of naphthalene which further yielded several degree-based topological indices. The analytical information function of a graph is entropy which uses probability density on the set of vertices. This paper computes the entropy of para-line graph of naphthalene (m, n) and its relationship with Randic index.

Further study of eccentricity based indices for benzenoid hourglass network

“…Liu et al defined many indices in [ 7 ]. In 2019, Tanveer et al worked on M. polynomials [ 8 ], and in 2021 Yu et al also discussed topological properties in [ 9 ], some other indices are computed in [ 10 ].…”