Meenakshi A, Dhanushiya S, Mrsic Leo, Kalampakas Antonios, Samanta Sovan
Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamilnadu, India.
Department of Technical Sciences, Algebra Bernays University, Gradiscanska 24, 10000, Zagreb, Croatia.
Sci Rep. 2025 Jul 1;15(1):20992. doi: 10.1038/s41598-025-01924-0.
Secure communication is essential in today's rapidly evolving digital environment, and strong encryption methods are required to protect private data from unwanted access. The aim of this study is to strengthen the security and complexity of encrypted communications by adopting a new form of cryptographic encryption technique based on the principles of an intuitionistic fuzzy graph. Key graph-theoretic measures, such as domination number, vertex categorization (alpha-strong, beta-strong, and gamma-strong), vertex order coloring, and chromatic number, play important roles in this process. Domination number finds the key vertices of the network, while vertex strength categorization and fuzzy graph coloring provide multiple encryption layers, hence the encoded message is highly resistant to decryption unless a proper key is used. The chromatic number offers further security through various patterns of vertex coloring. The comparative analysis shows the proposed approach to be superior compared to RSA, AES, ECC, and Blowfish due to its increased security, computational efficiency, and resilience to attacks. This framework can be applied to the protection of banking PINs, military access codes, government identification numbers, cryptographic keys, and medical records, so it is an extremely versatile solution for protecting sensitive data. This multi-step approach to encryption through the proposed technique ensures safe transfer and efficient encoding as it establishes a complicated framework.
在当今快速发展的数字环境中，安全通信至关重要，需要强大的加密方法来保护私人数据不被非法访问。本研究的目的是通过采用一种基于直觉模糊图原理的新型加密技术，来增强加密通信的安全性和复杂性。关键的图论度量，如支配数、顶点分类（α-强、β-强和γ-强）、顶点序着色和色数，在此过程中发挥着重要作用。支配数用于找出网络的关键顶点，而顶点强度分类和模糊图着色提供了多个加密层，因此除非使用正确的密钥，否则编码后的消息极难被解密。色数通过各种顶点着色模式提供了进一步的安全性。对比分析表明，由于其更高的安全性、计算效率和抗攻击能力，所提出的方法优于RSA、AES、ECC和Blowfish。该框架可应用于保护银行密码、军事访问码、政府身份证号码、加密密钥和医疗记录，因此是一种保护敏感数据的极其通用的解决方案。通过所提出的技术进行的这种多步骤加密方法，通过建立一个复杂的框架，确保了安全传输和高效编码。
