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
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.
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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.
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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.
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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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