Citation
Abdurahim and Romdhini, M. U. and Qudsi, J. and Husain, S. K.S.
(2025)
Zagreb-based indices of prime coprime graph for integers modulo power of primes.
Malaysian Journal of Mathematical Sciences, 19 (3).
pp. 961-974.
ISSN 1823-8343
Abstract
The prime coprime graph is a graph in which every pair of vertices is adjacent if and only if the greatest common divisor of the order of both vertices is equal to one or relatively prime. This study aims to analyze the general formula of the first and second Zagreb, and hyper Zagreb indices of prime coprime graphs for a group of integers modulo power of primes. The correlation between these indices is found to have a strong significant correlation; in other words, if one index increases, then the other indices also increase with a coefficient correlation greater than 0.95. We also demonstrate this correlation in one equation and our results improve the understanding of Zagreb-based indices.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Subject: | Mathematics (all) |
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.47836/mjms.19.3.10 |
| Publisher: | Universiti Putra Malaysia |
| Keywords: | First zagreb index; Hyper zagreb index; Integers modulo; Prime coprime graph; Second zagreb index |
| Sustainable Development Goals (SDGs): | SDG 9: Industry, Innovation and Infrastructure, SDG 17: Partnerships for the Goals, SDG 4: Quality Education |
| Depositing User: | Ms. Siti Radziah Mohamed@mahmod |
| Date Deposited: | 21 Apr 2026 07:16 |
| Last Modified: | 21 Apr 2026 07:16 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.47836/mjms.19.3.10 |
| URI: | http://psasir.upm.edu.my/id/eprint/123649 |
| Statistic Details: | View Download Statistic |
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