To determine if a directed graph is strongly connected, you must verify that every pair of vertices is mutually reachable. If you find even one pair of vertices where one cannot reach the other, the graph is not strongly connected.
Conditions: The graph is directed.; You need to check mutual reachability for all vertex pairs.
To determine if a directed graph is strongly connected, you must verify that every pair of vertices is mutually reachable. If you find even one pair of vertices where one cannot reach the other, the graph is not strongly connected.
Conditions: The graph is directed.; You need to check mutual reachability for all vertex pairs.
The maximum number of edges in an undirected disconnected graph with n vertices is (n-1)(n-2)/2. This is achieved by forming a complete graph with n-1 vertices and leaving one vertex isolated.
Conditions: The graph is undirected.; The graph is disconnected.; The graph has n vertices.
The maximum number of edges in an undirected disconnected graph with n vertices is (n-1)(n-2)/2. This is achieved by forming a complete graph with n-1 vertices and leaving one vertex isolated.
Conditions: The graph is undirected.; The graph is disconnected.; The graph has n vertices.
A strongly connected graph is a directed graph in which every pair of vertices is mutually reachable. This means that for any two vertices u and v, there is a directed path from u to v and a directed path from v to u.
Conditions: The graph is directed.; The criterion requires mutual reachability between every pair of vertices.
A strongly connected graph is a directed graph in which every pair of vertices is mutually reachable. This means that for any two vertices u and v, there is a directed path from u to v and a directed path from v to u.
Conditions: The graph is directed.; The criterion requires mutual reachability between every pair of vertices.