matrix representation of graphs


  • What is a matrix representation of a graph?

    In Incidence matrix representation, graph can be represented using a matrix of size: Total number of vertices by total number of edges. It means if a graph has 4 vertices and 6 edges, then it can be represented using a matrix of 4X6 class. In this matrix, columns represent edges and rows represent vertices.
  • How are matrices used in graphs?

    Matrices with all nonzero entries correspond to complete bipartite graphs. If none of the entries of a matrix is zero, then there are no missing edges in its corresponding graph. That means every vertex in X is connected to every vertex in Y . Such bipartite graphs are called complete.
  • In graph theory, an adjacency matrix is nothing but a square matrix utilised to describe a finite graph. The components of the matrix express whether the pairs of a finite set of vertices (also called nodes) are adjacent in the graph or not.
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