Explain the concept of a directed graph and an undirected graph.

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Explain the concept of a directed graph and an undirected graph.

A directed graph, also known as a digraph, is a type of graph where the edges have a specific direction associated with them. In other words, each edge in a directed graph has a starting vertex and an ending vertex, and the direction of the edge indicates the relationship between these vertices. This means that if there is an edge from vertex A to vertex B, it does not necessarily mean that there is an edge from vertex B to vertex A.

In a directed graph, the edges are represented by arrows, indicating the direction of the relationship. For example, if we have vertices A and B, and there is an edge from A to B, it means that there is a directed path from A to B, but not necessarily from B to A.

On the other hand, an undirected graph is a type of graph where the edges do not have any specific direction associated with them. In an undirected graph, the edges are represented by lines, indicating that the relationship between the vertices is bidirectional. This means that if there is an edge between vertex A and vertex B, it implies that there is also an edge between vertex B and vertex A.

In summary, the main difference between a directed graph and an undirected graph lies in the directionality of the edges. In a directed graph, the edges have a specific direction associated with them, while in an undirected graph, the edges do not have any specific direction and represent a bidirectional relationship between the vertices.