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Beta Products of Fuzzy Graphs with Application in Cryptography

    https://doi.org/10.1142/S1793005722500107Cited by:0 (Source: Crossref)

    Fuzzy graph theory is finding an increasing number of application in modeling real time systems where the level of information inherent in the system varies with different levels of precision. Special fuzzy graph can be obtained from two given fuzzy graphs using the operations beta products. In this paper, we introduce the notions of some kinds of beta product of two fuzzy graphs. The concept of strong, regular and complement of βi-product of two fuzzy graphs and relation between them are also obtained. At the end, an application with a cryptographic object is said to be using the βi-product of fuzzy graphs.

    References

    • 1. M. Akram, R. Akmal and N. Alshehri , On m-Polar Fuzzy Graph Structures (SpringerPlus, 2016), https://doi.org/10.1186/s40064-016-3066-8. CrossrefGoogle Scholar
    • 2. R. A. Borzooei, B. Sheikh Hoseini and Y. B. Jun , Lexicographic product of vague graphs with application, Matematicki Vesnik 72(1) (2020) 43–57. ISIGoogle Scholar
    • 3. R. A. Borzooei and H. Rashmanlou , Ring sum in product intuitionistic fuzzy graphs, Journal of Advanced Research in Pure Mathematics 7(1) (2015) 16–31. CrossrefGoogle Scholar
    • 4. R. A. Borzooei, H. Rashmanlou, S Samanta and M. Pal , Regularity of vague graphs, Journal of Intelligent and Fuzzy Systems 30(6) (2016) 3681–3689. Crossref, ISIGoogle Scholar
    • 5. A. Kauffman, Introduction a la theories des sous-emsembles 503 flous, Masson et Cie 1 (1973). Google Scholar
    • 6. A. Nagoor Gani and B. Fathima Kani , Beta and gamma product of fuzzy graphs, International Journal of Fuzzy Mathematical Archive 4(1) (2014) 20–36. Google Scholar
    • 7. A. Nagoorgani and K. Radha , The degree of a vertex in some fuzzy graphs, International Journal of Algorithm, Computing and Mathematics 2 (2009) 107–116. Google Scholar
    • 8. G. Nirmala and M. Vijaya , Fuzzy graphs on composition, tensor and normal products, International Journal of Scientific and Research Publications 2 (2012) 1–7. Google Scholar
    • 9. K. Radha and S. Arumugam , Research article on maximal product of two fuzzy graphs, International Journal of Current Research 7(1) (2015) 11508–11515. Google Scholar
    • 10. K. Radha and S. Arumugam , On lexicographic product of two fuzzy graphs, International Journal of Fuzzy Mathematical Archive 7(2) (2015) 169–176. Google Scholar
    • 11. H. Rashmanlou and R. A. Borzooei , Product vague graphs and its applications, Journal of Intelligent and Fuzzy Systems 30(1) (2016) 371–382. Crossref, ISIGoogle Scholar
    • 12. H. Rashmanlou, S. Samanta and R. A. Borzooei , Product of bipolar fuzzy graphs and their degree, International Journal of General Systems 45(1) (2016) 1–14. Crossref, ISIGoogle Scholar
    • 13. H. Rashmanlou, S. Samanta, M. Pal and R. A. Borzooei , A study on bipolar fuzzy graphs, Journal of Intelligent and Fuzzy Systems 28 (2015) 571–580. Crossref, ISIGoogle Scholar
    • 14. H. Rashmanlou, S. Samanta, M. Pal and R. A. Borzooei , Bipolar fuzzy graphs with categorical properties, International Journal of Computational Intelligence Systems 8(5) (2015) 808–818. Crossref, ISIGoogle Scholar
    • 15. A. Rosenfeld , Fuzzy Graphs, Fuzzy Sets and Their Applications, Vol. 513, eds. L. A. ZadehK. S. FuM. Shimura (Academic Press, New York, 1975), pp. 77–95. Google Scholar
    • 16. Z. Shao, S. Kosari, H. Rashmanlou and M. Shoaib , New concepts in intuitionistic fuzzy graph with application in water supplier systems, Mathematics 8(8) (2020) 1–17. Crossref, ISIGoogle Scholar
    • 17. B. Sheikh Hoseini, M. Akram, M. Sheikh Hoseini, H. Rashmanlou and R. A. Borzooei , Maximal product of graphs under vague environment, Mathematical and Computational Applications 25(10) (2020) 1–17. Google Scholar
    • 18. M. Suzuki , Group Theory I (Springer-Verlag, New York, 1982). CrossrefGoogle Scholar
    • 19. L. A. Zadeh , Fuzzy sets, Information and Control 8 (1965) 338–353. CrossrefGoogle Scholar
    • 20. L. A. Zadeh , Similarity relations and fuzzy ordering, Information Sciences 3 (1971) 177–200. Crossref, ISIGoogle Scholar
    • 21. L. A. Zadeh , Is there a need for fuzzy logical, Information Sciences 178 (2008) 2751–2779. Crossref, ISIGoogle Scholar