Eccentricity-based topological indices of hexagonal networks

ABSTRACT

Chemical graph theory acts as a tool for converting molecular information to a numerical parameter. Topological indices are numeric quantities that are related to the physio-chemical properties of chemical compounds. Distance- and Degree-based topological indices and Counting-related polynomials are three prominent and extensively researched classes of topological indices. In all these categories, distance-based topological descriptors have a significant impact on chemical graph theory. In this paper, the ‘Total eccentricity index $\zeta \left(G\right)$, the Geometric-arithmetic index $G{A}_4\left(G\right)$, Eccentricity-based Zagreb indices $M_1^{\ast }\left(G\right)$, $M_1^{\ast \ast }\left(G\right)$ and $M_2^{\ast }\left(G\right)$, the Average eccentricity index $avec\left(G\right)$ and the Atom-bond connectivity index $AB{C}_5\left(G\right)$’ of hexagonal networks are computed.

KEYWORDS:

• Total eccentricity index
• geometric arithmetic index
• eccentricity version of Zagreb indices
• average eccentricity index
• atom bond connectivity index and hexagonal network

MATHEMATICS SUBJECT CLASSIFICATION (2000):

• 05C12, 05C90, 92E10, 05C92, 05C09

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability

Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.