Path problems is a class of fundamental computational problems studied within graph theory, operations research, and computer science. This academic concept investigates the properties of sequences of connected vertices and edges (paths) within a graph structure, focusing on tasks such as finding paths with optimal characteristics (e.g., shortest, longest, minimum cost), determining the existence of specific types of paths, or enumerating all possible paths, and is significant for modeling and solving challenges in diverse network-based applications ranging from transportation and logistics to network routing and resource allocation.