Journal of Prime Research in Mathematics

Narumi-Katayama and modified Narumi-Katayama indices of graphs

Mehdi Rezaei
Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran.
MUHAMMAD SH. SARDAR
School of Mathematical and Computational Sciences, Anhui University, Hefei, China.
Sohail Zafar
Department of Mathematics, University of Management and Technology (UMT), Lahore, Pakistan.
Mohammad R. Farahani
Department of Applied Mathematics, Iran University of Science and Technology, Tehran
16844, Iran.

\(^{4}\)Corresponding Author: mrfarahani88@gmail.com

Abstract

Let \(G\) be a simple connected molecular graph in chemical graph theory, then its vertices correspond to the atoms and the edges to the bonds. Chemical graph theory is an important branch of graph theory, such that there exits many topological indices in it. Also, computing topological indices of molecular graphs is an important branch of chemical graph theory. Topological indices are numerical parameters of a molecular graph \(G\) which characterize its topology. In the present study we compute and report several results of the Narumi-Katayama and modified NarumiKatayama indices for some widely used chemical molecular structures.

Keywords:

Zagreb indices, Narumi-Katayama index, multiple Zagreb index, chemical molecular structures, bridge Graph, triangular benzenoid.