Fuzzy Network using Vertex Order Coloring and Efficient Domination

In the modern digital age, secure communication and information exchange are crucially facilitated by cryptography. Innovative strategies that utilize complex mathematical ideas are continually being investigated to improve the efficacy and robustness of cryptography systems. This study explores the use of effective domination and fuzzy vertex coloring in the context of cryptography. A more subtle representation of data categorization is possible with fuzzy vertex coloring, and effective domination in cryptographic networks maximizes resource utilization. Combining these ideas, this study shows how they can be used to improve the security and effectiveness of cryptographic protocols, creating new opportunities for protecting private data in a world that is becoming more linked. It has significant contributions to network security with potential implications for real-world network systems in domains such as communication, transportation, and social networks.