Problem Statement
A directed graph is _______ if there is a path from each vertex to every other vertex in the graph.
Explanation
A directed graph is strongly connected if there exists a directed path from every vertex to every other vertex in the graph. This means you can reach any vertex from any other vertex following the direction of edges.
A weakly connected graph becomes connected when you ignore edge directions. Strongly connected graphs are important in applications like analyzing web page rankings, finding cycles in dependency graphs, and studying network connectivity.
Code Solution
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// Strongly Connected Graph Example // Graph: 1 -> 2 -> 3 -> 1 // ↓ ↑ // 4 ------→ // Can reach any vertex from any other vertex // 1 to 2: 1->2 // 1 to 3: 1->2->3 // 1 to 4: 1->4 // 2 to 1: 2->3->1 // 3 to 2: 3->1->2 // etc. // Weakly Connected (not strongly) // 1 -> 2 <- 3 // Can't reach 3 from 1 following edges
