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

Question

Which of the following ways can be used to represent a graph?a)Incidence Matrixb)None of the mentionedc)Adjacency List and Adjacency 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 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*V.

  2. Adjacency List: This is the array of linked lists. The size of the array is equal to the number of vertices. Let the array be an array[]. An entry array[i] represents the linked list of vertices adjacent to the ith vertex.

  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 of these methods can be used to represent a graph.

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