Graph Numbers and Distance Related Parameters of Zero Divisor Graphs

https://doi.org/10.51867/scimundi.mathematics.4.2.8

Auteurs

Mots-clés :

Cyclic structures, Weiner index, Zagreb index

Résumé

Distance-related parameters have applications in the field of pharmaceutical chemistry, network discovery, robot navigation, and optimizations. Cyclic structures exhibit significant topological features that have become important research areas in the field of computer science and mathematics. Due to the inherent algebraic relationship between graph numbers and distance related parameters, this paper characterizes variants of distance related parameters and graph numbers associated with the zero divisor graphs akin to cyclic structures obtained from classes of completely primary finite rings. In particular, we investigate the local fractional metric dimension and provide certain results concerning graph indices namely the Weiner index and the Zagreb index.

 

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Dimensions

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Publiée

2024-08-07

Comment citer

Mmasi, E., Ojiema, M. O., & Marani, V. (2024). Graph Numbers and Distance Related Parameters of Zero Divisor Graphs. SCIENCE MUNDI, 4(2), 81–95. https://doi.org/10.51867/scimundi.mathematics.4.2.8

Numéro

Vol. 4 No 2 (2024): Jul-Dec 2024

Rubrique

Articles
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(c) Tous droits réservés Eliud Mmasi, Michael Onyango Ojiema, Vincent Marani 2024

Creative Commons License

Ce travail est disponible sous licence Creative Commons Attribution - Pas d’Utilisation Commerciale 4.0 International.

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