Separation axioms of ING-induced topology from TRI-topological space on simple graph
*Ammar Mmousa JafarCorresponding authoramar.alfuadi2018@gmail.comDepartment of MathematicsDirectorate General of EducationAl Diwaneyah, 58001, Iraq0009-0003-9284-316XView full profile → , Zainab Redha Zainyzainabzainy005@gmail.comDepartment of MathematicsDirectorate General of EducationKarbala, 56001, Iraq0009-0003-4476-2867View full profile → , Asmhan F. Hassanasmhanf.alzuhairy@uokufa.edu.iqDepartment of MathematicsFaculty of Education for GirlsUniversity of KufaKufa, 540011, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Jun 2024
- Published Online:
- 13 Feb 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1851
- Pages:
- 211–221
Abstract
Keywords
Subject Classifications
References
[1] R. Diestel, Graph Theory, 4th ed., Graduate Texts in Mathematics, vol. 173. Springer-Verlag (2010).
[2] J. L. Gross and J. Yellen, Handbook of Graph Theory, Discrete Mathematics and Its Applications, vol. 25. CRC Press (2003).
[3] J. Gross and T. Tucker, Topological Graph Theory, Wiley-Interscience Series in Discrete Mathematics and Optimization. Wiley & Sons, New York (1987).
[4] J. R. Stallings, “Topology of finite graphs,” Invent. Math., vol. 71, pp. 551-565 (1983).
[5] S. S. Ray, Graph Theory with Algorithms and its Applications: In Applied Sciences and Technology, Springer, New Delhi (2013).
[6] M. Shokry and R. E. Aly, “Topological properties on graph VS medical application in human heart,” Int. J. Appl. Math., vol. 15, pp. 1103-1109 (2013).
[7] B. M. R. Stadler and P. F. Stadler, “Generalized topological spaces in evolutionary theory and combinatorial chemistry,” J. Chem. Inf. Comput., vol. 42, pp. 577-585 (2002).
[8] S. M. Amiri, A. Jafar Zadeh, and H. Khatibzadeh, “An Alexandroff topology on graphs,” Bull. Iranian Math. Soc., vol. 39, no. 4, pp. 647-662 (2013).
[9] A. F. Hassan and Z. Irhayyim Abed, “Independent (non-adjacent vertices) topological spaces associated with undirected graphs, with some applications in biomathematics,” J. Phys.: Conf. Ser., vol. 1591, 012096 (2020).
[10] A. F. Hassan and A. M. Jafar, “Some results and properties of non-incidence topological spaces in simple graphs,” AIP Conf. Proc., vol. 2414, 040096 (2023).
[11] A. F. Hassan, “Connectivity and density in non-incidence topological spaces,” AIP Conf. Proc., vol. 2414, 040052 (2023).
[12] A. F. Hassan, S. N. Jabir, and A. M. Abdulhasan, “ING-induced topology from tri-topological space on a locally finite graph,” Int. J. Nonlinear Anal. Appl., vol. 13, no. 1, pp. 2527-2533 (2022).
[13] J. Dugundji, Topology, Allyn and Bacon, Inc., Boston (1966).
[14] M. R. Farahani, S. Jafari, S. A. Mohiuddine, and M. Cancan, “Intuitionistic fuzzy stability of generalized additive set-valued functional equation via fixed point method,” Math. Statist. Eng. Appl., vol. 71, no. 3s3, pp. 142-154 (2022). [Online]. Available: https://www.philstat.org.ph/index.php/MSEA/article/view/355.
[15] M. R. Farahani, J. E. N. Valdes, M. Cancan, S. Jafari, and C. Park, “Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1355-1365 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1633.
[16] S. M. Kadham and M. A. Mustafa, “Medical applications of the new-transform,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1341-1353 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1632.
[17] S. M. Kadham and M. A. Mustafa, “Fuzzy SHmath. Mbio-transform generalization and application to skin cancer imaging (distributed diseases),” J. Interdiscip. Math., vol. 26, no. 6, pp. 1031-1042 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1603.
[18] R. H. Hasan, M. A. Kadhim, and A. M. Darweesh, “Fuzzy partial T-transforms applied to a system of PDEs,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1099-1107 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1609.
[19] S. Jafari, M. R. Farahani, and M. Rajesh N., “Double fuzzy rarely continuous functions,” Ann. Fuzzy Math. Informatics, vol. 26, no. 1, pp. 35-45.
