Οn digclοsure οperatοrs
*Husseins AlοffieCorresponding authorHusseins.alοffie@student.uοkuMinistry οf Educatiοn Karbala Educatiοn DirectorateKarbala, 56001, IraqView full profile → , Yοusief S. Eassayοusifalmοsaalmsa@gmial.cοmMinistry οf Educatiοn Karbala Educatiοn DirectorateKarbala, 56001, IraqView full profile → , Khalid Sh. Al’Dzhabrikhalid.aljabrimath@qu.edu.iqDepartment οf Mathematics University οf Al-Qadisiyah Cοllege οf EducatiοnAl Diwaniyah, 58002, Iraq0000-0003-4237-2366View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 13 May 2024
- Published Online:
- 21 Mar 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1869
- Pages:
- 333–340
Abstract
Keywords
Subject Classifications
References
[1] A. J. M. Khalaf, M. F. Hanif, M. K. Siddiqui, and M. R. Farahani, “On degree based topological indices of bridge graphs,” J. Discrete Math. Sci. Cryptography, vol. 23, no. 6, pp. 1139-1156 (2020). [Online]. Available: https://doi.org/10.1080/09720529.2020.1822040.
[2] F. G. Arenas, “Alexandroff space,” Acta Math. Univ. Comenian., vol. 68, pp. 17-25 (1999).
[3] G. Chartrand and P. Zhang, A First Course in Graph Theory, Dover Publications, USA (2012).
[4] J. W. Evane, F. Harary, and M. S. Lynn, “On the computer enumeration of finite topology,” Commun. ACM, vol. 10, no. 5, pp. 295-297 (1967). [Online]. Available: https://doi.org/10.1145/363282.363311.
[5] K. S. Al’Dzhabri and M. F. Hani, “On certain types of topological spaces associated with digraphs,” J. Phys.: Conf. Ser., vol. 1591, p. 012055 (2020). [Online]. Available: https://doi.org/10.1088/1742-6596/1591/1/012055.
[6] K. S. Al’Dzhabri, “Enumeration of connected components of acyclic digraph,” J. Discrete Math. Sci. Cryptography, vol. 24, no. 7, pp. 2047-2058 (2021). [Online]. Available: https://doi.org/10.1080/09720529.2021.1965299.
[7] K. S. Al’Dzhabri, M. Hamza Abedal-H, and Y. S. Eissa, “On DG-topological spaces associated with directed graphs,” J. Discrete Math. Sci. Cryptogr., vol. 23, no. 5, pp. 1039-1046 (2020). [Online]. Available: https://doi.org/10.1080/09720529.2020.1714886.
[8] K. S. Al’Dzhabri, A. A. Omran, and M. N. Al-Harere, “DG-domination topology in digraph,” J. Prime Res. Math., vol. 17, no. 2, pp. 93-100 (2021). [Online]. Available: http://jprm.sms.edu.pk/.
[9] S. A. Hazem and K. S. Al’Dzhabri, “Some topological concepts associated with graphs,” AIP Conf. Proc., vol. 2414, p. 040029 (2023). [Online]. Available: https://doi.org/10.1063/5.0114854.
[10] K. S. Al’Dzhabri and F. K. Al-Basri, “On bornological topological space and digraphs,” AIP Conf. Proc., vol. 2414, p. 040014 (2023). [Online]. Available: https://doi.org/10.1063/5.0115082.
[11] K. S. Al’Dzhabri and I. V. Rodionov, “On some formulas in the problem of enumeration of finite labeled topologies,” Discrete Math., Algorithms Appl., vol. 15, no. 2, p. 2250075 (2023). [Online]. Available: https://doi.org/10.1142/S1793830922500756.
[12] K. S. Al’Dzhabri and I. V. Rodionov, “On enumeration of labeled connected transitive digraphs,” J. Interdiscip. Math., vol. 26, no. 6 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1631.
[13] S. S. Ray, Graph Theory with Algorithms and its Applications: In Applied Sciences and Technology, Springer, New Delhi (2013).
[14] N. H. A. M. Saidi, M. N. Husin, and N. B. Ismail, “On the Zagreb indices of the line graphs of polyphenylene dendrimers,” J. Discrete Math. Sci. Cryptography, vol. 23, no. 6, pp. 1239-1252 (2020). [Online]. Available: https://doi.org/10.1080/09720529.2020.1822041.
[15] X. Zhang, A. Razzaq, K. Ali, S. T. R. Rizvi, and M. R. Farahani, “A new approach to find eccentric indices of some graphs,” J. Inf. Optim. Sci., vol. 41, no. 4, pp. 865-877 (2020). [Online]. Available: https://doi.org/10.1080/02522667.2020.1744304.
[16] M. Cancan, D. Afzal, S. Hussain, F. Afzal, and A. Maqbool, “Some new topological indices of silicate network via M-polynomial,” J. Discrete Math. Sci. Cryptography, vol. 23, no. 6, pp. 1157-1171 (2020). [Online]. Available: https://doi.org/10.1080/09720529.2020.180977.
[17] A. H. Alwan, “Small intersection graph of subsemimodules of a semimodule,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2022, no. 1, pp. 15-22 (2022).
[18] S. Ediza, M. Cancana, M. R. Farahani, “Eccentric connectivity and connective eccentricity indices of generalized Petersen graphs,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2021, no. 1, pp. 1-6 (2021).
[19] R. Ponraj, S. Prabhu, and M. Sivakumar, “Pair mean cordial labeling of total graph of some graphs and prism related graphs,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2024, no. 2, pp. 181-192 (2024).
[20] F. O. Oduol and I. O. Okoth, “Counting vertices among all noncrossing trees by levels and degrees,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2024, no. 2, pp. 193-212 (2024).
