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On Eccentric Topological Indices Based on Edges of Zero Divisor Graphs

1
Department of Mathematics, College of Science, Jazan University, New Campus, Jazan 2097, Saudi Arabia
2
College of Computer Science and Information Technology, Jazan University, Jazan 45142, Saudi Arabia
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(7), 907; https://doi.org/10.3390/sym11070907
Received: 18 June 2019 / Revised: 4 July 2019 / Accepted: 9 July 2019 / Published: 12 July 2019
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PDF [256 KB, uploaded 12 July 2019]

Abstract

This article is devoted to the determination of edge-based eccentric topological indices of a zero divisor graph of some algebraic structures. In particular, we computed the first Zagreb eccentricity index, third Zagreb eccentricity index, geometric-arithmetic eccentricity index, atom-bond connectivity eccentricity index and a fourth type of eccentric harmonic index for zero divisor graphs associated with a class of finite commutative rings. View Full-Text
Keywords: eccentricity; topological index; zero divisor graphs; commutative ring eccentricity; topological index; zero divisor graphs; commutative ring
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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Koam, A.N.A.; Ahmad, A.; Haider, A. On Eccentric Topological Indices Based on Edges of Zero Divisor Graphs. Symmetry 2019, 11, 907.

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