Description: Reachability is a fundamental property in graph theory that refers to the ability to reach a node from another node within a graph. In more technical terms, a node A is reachable from a node B if there exists a path connecting both nodes, which implies that one can follow a series of edges that link the nodes in question. This property is crucial for understanding the structure and behavior of graphs, as it allows for the analysis of connectivity and accessibility of nodes. Reachability can be evaluated in different types of graphs, including directed and undirected graphs, and can be determined using various algorithms such as depth-first search (DFS) or breadth-first search (BFS). Furthermore, reachability is not limited to the existence of a path but can also involve considering weights on the edges, leading to more complex concepts like shortest reachability. In summary, reachability is a key concept that helps unravel the relationships and internal structure of graphs, being essential in various applications in computer science, mathematics, and social sciences.
