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Which of the following ways can be used to represent a graph?a)None of the mentionedb)Adjacency List, Adjacency Matrix as well as Incidence Matrixc)Adjacency List and Adjacency Matrixd)Incidence Matrix

Question

Which of the following ways can be used to represent a graph?a)None of the mentionedb)Adjacency List, Adjacency Matrix as well as Incidence Matrixc)Adjacency List and Adjacency Matrixd)Incidence Matrix

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Solution

The correct answer is b) Adjacency List, Adjacency Matrix as well as Incidence Matrix. These are all common methods used to represent a graph in computer science.

  1. Adjacency List: This is a collection of unordered lists used to represent a finite graph. Each list describes the set of neighbors of a vertex in the graph.

  2. Adjacency Matrix: This is a 2D array of size V x V where V is the number of vertices in a graph. The idea is to represent sparse graphs where the total number of edges is less than V^2.

  3. Incidence Matrix: This is a 2D Boolean matrix, in which the rows represent the vertices and columns represent the edges. The entry of the matrix is 1 if the vertex at a row is incident to the edge at a column.

So, all of these methods can be used to represent a graph.

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