Beta Products of Fuzzy Graphs with Application in Cryptography

R. A. Borzooei, B. Sheikh Hoseini () and Y. B. Jun
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R. A. Borzooei: Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran
B. Sheikh Hoseini: Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran
Y. B. Jun: Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran†Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 01, 177-194

Abstract: 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.

Keywords: Fuzzy graph; βi-product fuzzy graph; strong βi-product fuzzy graph; regular βi-product fuzzy graph; complement of βi-product fuzzy graph; cryptography (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500107

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