Definition: In computer science, a "by-path" is a specific class of graph data structures used in network protocols and algorithms. These are designed to simplify communication between nodes by providing an efficient path through the graph without traversing the entire graph. The bypath is often used in distributed systems or when certain types of paths are not possible due to constraints on network resources such as bandwidth, latency, or computational resources. Bypaths are represented using a data structure that allows for efficient traversal and modification of paths between