degree of directed graph


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Let G be a directed graph (or multigraph) with V vertices and N edges The following graph of degree 3 with 10 vertices is called the Petersen graph (after 

  • How do you find the average degree of a directed graph?

    For a directed graph, each edge accounts to 1 degree, and not two (as the edges grant a degree just to one vertex, and not two vertices).
    Therefore, for a directed graph, the average degree is simply the number of edges divided by the number vertices.

  • In other words, a vertex with a loop "sees" itself as an adjacent vertex from both ends of the edge thus adding two, not one, to the degree.
    For a directed graph, a loop adds one to the in degree and one to the out degree.

  • What are the degrees on a graph?

    In graph theory, we use the word degree to describe the number of edges connected to a vertex.
    As you might recall from your geometry knowledge, a vertex is a shape's "point." A triangle has three vertices, for example.

  • The degree sequence of a directed graph is the list of its indegree and outdegree pairs; for the above example we have degree sequence ((2, 0), (2, 2), (0, 2), (1, 1)). The degree sequence is a directed graph invariant so isomorphic directed graphs have the same degree sequence.
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