A Study on the Energy of Graphs and Its Applications
Shiv Kumar, Prosanta Sarkar, Anita Pal
Abstract
In this paper, we dealt with two very well-known eigenvalue-based molecular descriptors such as the energy of graph (E(G)) and Estrada index (EE(G)). We test their predictive potential of some physicochemical properties of polycyclic aromatic hydrocarbons using a data set of benzenoid hydrocarbons. We stabilized a relation of these two indices with some well-known degree-based topological indices such as the first Zagreb index, second Zagreb index, F-index, Randić index, Reciprocal Randić index, Atom bond connectivity index, sum-connectivity index, Geometric-arithmetic, Harmonic index, symmetric division deg index, and redefined Zagreb index.
Topics & Concepts
ChemistryEnergy (signal processing)StatisticsMathematicsGraph theory and applicationsGraph Labeling and Dimension ProblemsAdvanced Graph Theory Research