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Mathematics 2018, 6(8), 141; https://doi.org/10.3390/math6080141

Eccentricity-Based Topological Indices of a Cyclic Octahedron Structure

1
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
2
Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakpattan 57400, Pakistan
3
Department of Mathematics, Govt. High School Burhan, Attock 43600, Pakistan
*
Author to whom correspondence should be addressed.
Received: 10 July 2018 / Revised: 7 August 2018 / Accepted: 9 August 2018 / Published: 17 August 2018
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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. View Full-Text
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 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
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Zahid, M.A.; Baig, A.Q.; Naeem, M.; Azhar, M.R. Eccentricity-Based Topological Indices of a Cyclic Octahedron Structure. Mathematics 2018, 6, 141.

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