Abstract
Abstract Chemical graph theory has become a prime gadget for mathematical chemistry due to its wide range of graph theoretical applications for solving molecular problems. A numerical quantity is named as topological index which explains the topological characteristics of a chemical graph. Recently face centered cubic lattice FCC(n) attracted large attention due to its prominent and distinguished properties. Mujahed and Nagy (2016, 2018) calculated the precise expression for Wiener index and hyper-Wiener index on rows of unit cells of FCC(n). In this paper, we present the ECI (eccentric-connectivity index), TCI (total-eccentricity index), CEI (connective eccentric index), and first eccentric Zagreb index of face centered cubic lattice.
Highlights
Mathematical chemistry has an important branch called chemical graph theory
The significantly large applications of graph theory can solve molecular questions that are related to the support of the chemical graph theory
Algebraic invariants in chemical graph theory are used to describe the structural properties of a molecule that describes the molecule strength, structural fragments, molecular branching, and electronic configurations
Summary
Mathematical chemistry has an important branch called chemical graph theory. The significantly large applications of graph theory can solve molecular questions that are related to the support of the chemical graph theory. The total number of edges in a shortest u–v path in a graph G is called the distance from vertex u to vertex v, which is denoted by d(u,v) where u,v ∈ G. Eccentricity based topological indices of face centered cubic lattice FCC(n) 33 is called a topological index.
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