- Braid graph, Graph Labeling, Felicitous labeling, AMGL Coding, Graph-based encryption, coding techniques.
Abstract
Graph labeling plays a vital role in modern graph theory due to its wide range of applications in communications networks, cryptography, and coding theory. Among various labeling schemes, felicitous labeling is significant because of its modular arithmetic structure and uniqueness of edge labels. In this paper, the braid graph B(n) is studied under felicitous labeling and is further utilized for developing an efficient AMGL (Alphabets Maneuvered Graph Labeling) coding algorithm, and computational implementations are presented. Experimental results show that braid graphs provide a strong framework for secure message encoding and decoding. The study highlights the effectiveness of braid graphs in bridging mathematical theory with practical coding applications.