Data Structures Questions Medium
In the context of graph theory, a connected graph is a graph in which there is a path between every pair of vertices. This means that for any two vertices in a connected graph, there exists a sequence of edges that can be traversed to go from one vertex to the other.
On the other hand, a strongly connected graph is a directed graph in which there is a directed path between every pair of vertices. This means that for any two vertices in a strongly connected graph, there exists a sequence of directed edges that can be followed to go from one vertex to the other.
In simpler terms, the main difference between a connected graph and a strongly connected graph is that a connected graph applies to undirected graphs, while a strongly connected graph applies to directed graphs. Additionally, in a strongly connected graph, the paths between vertices must follow the direction of the edges.
To summarize:
- A connected graph is an undirected graph where there is a path between every pair of vertices.
- A strongly connected graph is a directed graph where there is a directed path between every pair of vertices.