Topological Energies of Some Standard Graphs

Abstract

Let $G$ be simple, finite, undirected graph (molecular graph) with vertex set $V=\{v_1,v_2,v_3,\dots,v_n\}$ and edge set $E=\{e_1,e_2,e_3,\dots ,e_n\}$. The energy concept originated in chemistry and was introduced by I Gutman in 1978. Similar to the energies like dominating energy, minimum dominating energy, minimum total dominating energy, Zagreb energy is having its own importance in the study of physic-chemical properties of chemical compound that are often modeled by means of topological indices. In this paper, we find, first Zagreb energy [1] (introduced by Gutman), second Zagreb energy and hyper Zagreb energy of some standard graphs like Complete graph, complete bipartite graph, star graph and crown graph.