“Applications of Graph Theory”

Abstract: Graph theory is a fundamental area of mathematics with diverse applications across multiple fields. It provides a structural framework for solving complex problems by representing objects and their relationships as graphs. In computer science, graph theory is used in networking, algorithms, and artificial intelligence. It plays a crucial role in transportation and logistics, optimizing routes and traffic flow. Social networks leverage graph models for community detection and influence analysis. In biology and medicine, graph theory aids in understanding neural connections, disease spread, and genomic structures. Additionally, it is applied in cyber security, linguistics, operations research, and chemistry. The versatility of graph theory makes it an essential tool for analysing and solving real-world problems efficiently.