Strongly Connected Components
A Strongly Connected Component (SCC) in a directed graph is a maximal subset of vertices where every vertex is reachable from every other vertex within that subset. This means that for any two vertices u and v in the SCC, there is a directed path from u to v and from v to u . SCCs help in understanding the structure of directed graphs and are essential in various applications, such as analyzing web pages or social networks.
Algorithms like Tarjan's algorithm and Kosaraju's algorithm are commonly used to identify SCCs efficiently. These algorithms operate in linear time, making them suitable for large graphs. Once SCCs are identified, they can be condensed into a Directed Acyclic Graph (DAG), simplifying the analysis of the original graph's connectivity and relationships.