On Eccentric Topological Indices Based on Edges of Zero Divisor Graphs

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 connectiv...

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Bibliographic Details
Published in:Symmetry (Basel) 2019-07, Vol.11 (7), p.907
Main Authors: Koam, Ali N. A., Ahmad, Ali, Haider, Azeem
Format: Article
Language:English
Subjects:
Chemistry
commutative ring
Commutativity
Connectivity
Eccentricity
Graphs
Prime numbers
Rings (mathematics)
topological index
Topology
zero divisor graphs
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym11070907