Eccentricity-Based Topological Indices of a Cyclic Octahedron Structure

Manzoor Ahmed Zahid, Abdul Qudair Baig, Muhammad Naeem and Muhammad Razwan Azhar
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Manzoor Ahmed Zahid: Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
Abdul Qudair Baig: Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakpattan 57400, Pakistan
Muhammad Naeem: Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakpattan 57400, Pakistan
Muhammad Razwan Azhar: Department of Mathematics, Govt. High School Burhan, Attock 43600, Pakistan

Mathematics, 2018, vol. 6, issue 8, 1-15

Abstract: In this article, we study the chemical graph of a cyclic octahedron structure of dimension n and compute the eccentric connectivity polynomial, the eccentric connectivity index, the total eccentricity, the average eccentricity, the first Zagreb index, the second Zagreb index, the third Zagreb index, the atom bond connectivity index and the geometric arithmetic index of the cyclic octahedron structure. Furthermore, we give the analytically closed formulas of these indices which are helpful for studying the underlying topologies.

Keywords: molecular graph; eccentric connectivity polynomial; eccentric connectivity index; total eccentricity; average eccentricity; first Zagreb index; second Zagreb index; third Zagreb index; atom bond connectivity index; geometric arithmetic index; cyclic Octahedron structure (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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