Korean J. Math. Vol. 27 No. 3 (2019) pp.613-627
DOI: https://doi.org/10.11568/kjm.2019.27.3.613

Edge Szeged indices of Benzene ring

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Published: Sep 30, 2019
Keywords:
Edge Szeged index, Padmakar Iven index, Geometric Arithmetic index, Mostar index, Benzene ring
Mathematics Subject Classification:
05C12, 05C90

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Abdul Qudair Baig
Department of Mathematics The University of Lahore Pakpattan Campus, Pakistan
Muhammad Naeem
Department of Mathematics The University of Lahore Pakpattan Campus, Pakistan
Muhammad Mushtaq
Department of Mathematics The University of Lahore Pakpattan Campus, Pakistan
Wei Gao
School of Information Science and Technology Yunnan Normal University Kunming 650500, China

Abstract

Consider a connected molecular graph $G=(V,E)$ where $V$ is the set of vertices and $E$ is the set of edges. In $G$, vertices represent the atoms and edges represent the covalent bonds between atoms. In graph $G$, every edge (say) $e=uv$ will be connected by two atoms $u$ and $v$. The edge Szeged index is a topological index which has been introduced by Ivan Gutman. In this paper, we have computed edge Szeged indices of a hydrocarbon family called Benzene ring and is denoted by $(BR)_{n\times n}$.


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