On Ev-Degree and Ve-Degree Topological Indices

Abstract

Recently two new degree concepts have been defined in graph theory: ev-degree and ve-degree. Also the ev-degree and ve-degree Zagreb and Randie indices have been defined very recently as parallel of the classical definitions of Zagreb and Randie indices. It was shown that ev-degree and ve-degree topological indices can be used as possible tools in QSPR researches [2]. In this paper, we define the ve-degree and ev-degree Narumi-Katayama indices, investigate the predicting power of these novel indices and extremal graphs with respect to these novel topological indices. Also we give some basic mathematical properties of ev-degree and ve-degree Narumi-Katayama and Zagreb indices. (C) 2018 University of Kashan Press. All rights reserved