Indeks Reverse untuk Graf Koprima Prima
DOI:
https://doi.org/10.24843/JMAT.2026.v16.i01.p196Keywords:
Derajat simpul, indeks reverse, graf prima koprimaAbstract
Let is a graph. The degree of a vertex in is the number of vertices adjacent to the vertex. While the reverse degree of a vertex in is the maximum degree of the vertex minus the degree of the vertex plus 1. In this paper, the reverse degree is given for the vertices of the coprime prime graph . Furthermore, several reverse indices of are given including First and Second Zagreb, Sum-Connectivity, Arithmetic-Geometric, Geometric-Arithmetic.
References
[1] M. Akram and S. Naz, “Energy of Pythagorean fuzzy graphs with applications,” Mathematics, vol. 6, no. 8, p. 136, 2018, doi: https://doi.org/10.3390/math6080136.
[2] J. Jiang, R. Zhang, L. Guo, W. Li, and X. Cai, “Network aggregation process in multilayer air transportation networks,” Chinese Physics Letters, vol. 33, no. 10, p. 108901, 2016, doi: https://doi.org/10.1088/0256-307X/33/10/108901.
[3] S. A. Angadi and S. M. Hatture, “Face recognition through symbolic modeling of face graphs and texture,” Intern. J. Pattern Recognit. Artif. Intell., vol. 33, no. 12, p. 1956008, 2019, doi: https://doi.org/10.1142/S0218001419560081.
[4] S. Ediz and M. Cancan, “Reverse Zagreb indices of cartesian product of graphs,” 2016. [Online]. Available: http://ijmcs.future-in-tech.net
[5] K. J. Gowtham and M. N. Husin, “A Study of Families of Bistar and Corona Product of Graph: Reverse Topological Indices,” Malaysian Journal of Mathematical Sciences, vol. 17, no. 4, pp. 575–586, 2023, doi: https://doi.org/10.47836/MJMS.17.4.04.
[6] G. K. Jayanna, “A Study Of Reverse Topological Indices And Their Importance In Chemical Sciences,” Applied Mathematics E-Notes, vol. 23, no. 2023, pp. 175–86, 2023, Accessed: Feb. 14, 2026. [Online]. Available: https://www.researchgate.net/publication/371753164
[7] J. Rafael, M. Antalan, and R. P. Tagle, “Some Reverse Topological Indices of Comet and Double Comet Graphs,” Communications on Applied Nonlinear Analysis, vol. 32, no. 3, pp. 1074–133, 2025, doi: https://doi.org/10.52783/cana.v32.1920.
[8] A. Adhikari and S. Banerjee, “Prime coprime graph of a finite group,” Novi Sad J. Math, vol. 52, no. 2, p. 11151, 2021, doi: https://doi.org/10.30755/NSJOM.11151.
[9] A. Abdurahim et al., “Indeks Topologi Padmakar Ivan dan Szeged pada Graf Koprima Prima dari Grup Bilangan Bulat Modulo,” Square: Journal of Mathematics and Mathematics Education, vol. 6, no. 2, pp. 139–149, 2024, doi: https://doi.org/10.21580/square.2024.6.2.22836.
[10] A. Abdurahim, L. F. Pratiwi, G. Y. Karang, W. I. G. A. Wardhana, M. U. Romdhini, and Z. Y. Awanis, “Indeks wiener pada graf koprima prima dari grup bilangan bulat modulo,” Jurnal Matematika UNAND, vol. accepted, pp. 1–10, 2026.
[11] Abdurahim, M. U. Romdhini, J. Qudsi, and S. K. S. Husain, “Zagreb-Based Indices of Prime Coprime Graph for Integers Modulo Power of Primes,” Malaysian Journal of Mathematical Sciences, vol. 19, no. 3, pp. 961–974, Sep. 2025, doi: https://doi.org/10.47836/mjms.19.3.10.
[12] A. Abdurahim, J. Qudsi, S. Muawanah, and S. Salwa, “Indeks Harmonik, Randic, dan Gutman dari Graf Koprima Prima untuk Grup Bilangan Bulat Modulo,” Jurnal Diferensial, vol. 7, no. 1, pp. 38–46, 2025, doi: https://doi.org/10.35508/jd.v7i1.18227.
[13] V. R. Kulli, “On the sum connectivity reverse index of oxide and honeycomb networks,” Journal of Computer and Mathematical Sciences, vol. 8, no. 9, pp. 408–413, 2017, Accessed: Feb. 14, 2026. [Online]. Available: https://www.researchgate.net/profile/V_Kulli/publication/320146668
[14] V. R. Kulli, “Computing two arithmetic-geometric reverse indices of certain networks,” International Research Journal of Pure Algebra, vol. 8, no. 8, pp. 43–49, 2018, Accessed: Feb. 14, 2026. [Online]. Available: https://www.researchgate.net/publication/327392415
[15] V. R. Kulli, “Geometric-Arithmetic Reverse and Sum Connectivity Reverse Indices of Silicate and Hexagonal Networks,” International Journal of Current Research in Science and Technology, vol. 3, no. 10, pp. 29–33, 2017, Accessed: Feb. 14, 2026. [Online]. Available: https://crst.gfer.org/index.php/crst/article/view/103.
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Copyright (c) 2026 Abdurahim Abdurahim, Nuzla Af'idatur Robbaniyah, Andika Ellena Saufika Hakim Maharani

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