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

Question

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

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Solution

The correct answer is d) Adjacency List, Adjacency Matrix as well as Incidence Matrix. These are all common ways 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 which has a row for each vertex and a column for each edge. The entry of the matrix is '1' if the vertex at a row is incident to the edge at a column.

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

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