2018Van Yüzüncü Yıl University Academic Data Management SystemRequires access

On Ev-degree and Ve-degree Topological Indices

Bünyamin Şahin, Süleyman Ediz

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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

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What this paper is about

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

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Available 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

Key concepts: Degree (music), Mathematics, Topological index, Graph, Graph theory, Combinatorics, Topology (electrical circuits), Discrete mathematics

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