Cryptographic approach on edge regular power fuzzy graph
*T. BharathiCorresponding authordrtbharathi2024@gmail.comDepartment of MathematicsLoyola CollegeUniversity of MadrasChennai, Tamil Nadu, 600034, India0000-0003-2460-2682View full profile → , S. Shiny Paulinpaulinshiny@gmail.comDepartment of MathematicsLoyola CollegeUniversity of MadrasChennai, Tamil Nadu, 600034, India0009-0006-1291-0484View full profile → , S. Leosleoleo@gmail.comDepartment of MathematicsLoyola CollegeUniversity of MadrasChennai, Tamil Nadu, 600034, India0000-0001-7600-0195View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 09 Jul 2024
- Published Online:
- 11 Apr 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2216
- Pages:
- 945–958
Abstract
Keywords
Subject Classifications
References
[1] M. Akram, “Bipolar fuzzy graphs,” Information Sciences, vol. 181, no. 24, pp. 5548-5564 (2011). doi: 10.1016/j.ins.2011.07.037.
[2] M. Akram and W. A. Dudek, “Interval-valued fuzzy graphs,” Computers & Mathematics with Applications, vol. 61, no. 2, pp. 289-299 (2011). doi: 10.1016/j.camwa.2010.11.004.
[3] M. Akram, A. Habib, and A. N. A. Koam, “A novel description on edge-regular qrung picture fuzzy graphs with application,” Symmetry, vol. 11, no. 4, p. 489 (2019). doi: 10.3390/sym11040489.
[4] R. Balakrishnan and K. Ranganathan, A Textbook of Graph Theory, Springer (2012).
[5] T. Bharathi, S. S. Paulin, and B. Davvaz, “A novel discussion on power fuzzy graphs and their application in decision making,” Journal of Applied Mathematics and Informatics, vol. 42, no. 1, pp. 123-137 (2024). doi: 10.14317/jami.2024.123.
[6] T. Bharathi, S. S. Paulin, and M. J. Sherlin, “On regular power fuzzy graph,” Journal of Applied Mathematics, Statistics and Informatics, vol. 20, no. 2, pp. 5-18 (2024). doi: 10.2478/jamsi-2024-0011.
[7] R. A. Borzooei, B. S. Hoseini, and Y. B. Jun, “Beta products of fuzzy graphs with application in cryptography,” New Mathematics and Natural Computation, vol. 18, no. 1, pp. 177-194 (2022). doi: 10.1142/S1793005722500107.
[8] M. Durcheva and M. Ivanova, “Cryptography based on fuzzy graphs,” in Intelligent and Fuzzy Systems, C. Kahraman, I. U. Sari, B. Oztaysi, S. Cebi, S. Cevik Onar, and A. C. Tolga, Eds. Springer, Cham, vol. 758, pp. 85-93 (2023). doi: 10.1007/978-3-031-39774-5_11.
[9] A. N. Gani and M. B. Ahamed, “Order and size in fuzzy graphs,” Bulletin of Pure and Applied Sciences, vol. 22, no. 1, pp. 145-148 (2003).
[10] A. N. Gani and K. Radha, “On regular fuzzy graphs,” Journal of Physical Sciences, vol. 12, pp. 33-40 (2008).
[11] S. P. Geetha and S. J. Praveena, “Distinct concept of edge regular intuitionistic fuzzy m-polar graphs,” ScieXplore: International Journal of Research in Science, vol. 5, no. 1, pp. 11-18 (2018). doi: 10.15613/sijrs/2018/v5i1/188668.
[12] G. Ghorai and M. Pal, “A study on m-polar fuzzy planar graphs,” International Journal of Computing Science and Mathematics, vol. 7, no. 3, pp. 283-292 (2016). doi: 10.1504/IJCSM.2016.077854.
[13] M. Karunambigai, K. Palanivel, and S. Sivasankar, “Edge regular intuitionistic fuzzy graph,” Advances in Fuzzy Sets and Systems, vol. 20, no. 1, pp. 25-46 (2015). doi: 10.17654/AFSSSep2015_025_046.
[14] S. Misra, M. S. Obaidat, A. Bagchi, R. Bhatt, and S. Ghosh, “Attack graph generation with infused fuzzy clustering,” in Proceedings of the International Conference on Security and Cryptography, vol. 1, pp. 92-98, SciTePress, SECRYPT, ICETE (2009). doi: 10.5220/0002277000920098.
[15] R. Parvathi and M. G. Karunambigai, “Intuitionistic fuzzy graphs,” in Computational Intelligence, Theory and Applications, B. Reusch, Ed. Berlin, Heidelberg: Springer, vol. 38, pp. 139-150 (2006). doi: 10.1007/3-540-34783-6_15.
[16] A. Pius and D. Kirubaharan, “Application of cryptography in data privacy using fuzzy graph theory,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 24, no. 8, pp. 2389-2401 (2021). doi: 10.1080/09720529.2021.2014146.
[17] G. R. Qaid, S. N. Talbar, and A. A. M. AL-Kubati, “Image security by using fuzzy graph,” Image, vol. 3, no. 12 (2014).
[18] K. Radha and N. Kumaravel, “The degree of an edge in cartesian product and composition of two fuzzy graphs,” International Journal of Applied Mathematics & Statistical Sciences, vol. 2, no. 2, pp. 65-78 (2013).
[19] K. Radha and N. Kumaravel, “On edge regular fuzzy graphs,” International Journal of Mathematical Archive, vol. 5, no. 9, pp. 100-112 (2014).
[20] K. Radha and N. Kumaravel, “Some properties of edge regular fuzzy graphs,” Jamal Academic Research Journal, pp. 121-127 (2014).
[21] K. Radha and N. Kumaravel, “On edge regular bipolar fuzzy graphs,” Annals of Pure and Applied Mathematics, vol. 10, no. 2, pp. 129-139 (2015).
[22] K. Radha and N. Kumaravel, “Edge regular property of complement and ω-complement of a fuzzy graph and edge adjacency sequence in fuzzy graph,” International Journal of Pure and Applied Mathematics, vol. 107, no. 3, pp. 673-682 (2016).
[23] A. Rosenfeld, “Fuzzy graphs,” in Fuzzy Sets and Their Applications to Cognitive and Decision Processes, L.A. Zadeh, K.-S. Fu, K. Tanaka, and M. Shimura, Eds. California: Academic Press, pp. 77-95 (1975). doi: 10.1016/B978-0-12-775260-0.50008-6.
[24] V. Saxena and P. Kumar, “Secure transaction of digital currency through fuzzy based cryptography,” Indian Journal of Science and Technology, vol. 16, no. 37, pp. 3148-3158 (2023). doi: 10.17485/IJST/v16i37.1453.
[25] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338-353 (1965). doi: 10.1016/S0019-9958(65)90241-X.




