On Zagreb Connection Indices of a Novel Carbon Nanomaterial γ Graphyne

Abstract

Chemical graph theory is a branch of Mathematical Chemistry that deals with chemical/molecular graphs to predict molecules’ reactivity, stability, and topology through topological indices. γ graphyne is a carbon allotrope, a crystal lattice composed of one acetylene bond connecting two aromatic rings. Since there is no evidence of any economical method for its synthesis to date to study the physicochemical properties, reactivity, and stability, the in-silico methods can be of great help. In this paper, we have considered Zagreb connection indices, which haven’t been explored in a wide range despite their correlation with the physicochemical properties being better than classical Zagreb Indices. Here, Zagreb connection indices of γ graphyne have been calculated using the edge partition technique and their trend in characteristics has been plotted.

Keywords: Chemical graph theory, γ graphyne, Zagreb connection indices.