Which of the following ways can be used to represent a graph?Marks : 1Negative Marks : 0Answer hereAdjacency List, Adjacency Matrix as well as Incidence MatrixNone of theseAdjacency List and Adjacency MatrixIncidence Matrix
Question
Which of the following ways can be used to represent a graph?Marks : 1Negative Marks : 0Answer hereAdjacency List, Adjacency Matrix as well as Incidence MatrixNone of theseAdjacency List and Adjacency MatrixIncidence Matrix
Solution
To represent a graph, there are several ways that can be used. The options given are:
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Adjacency List: This is a method where each vertex in the graph is represented as a list, and each element in the list represents the adjacent vertices. This is a commonly used method for representing sparse graphs.
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Adjacency Matrix: This is a method where a matrix is used to represent the connections between vertices. The rows and columns of the matrix represent the vertices, and the entries in the matrix indicate whether there is an edge between the corresponding vertices. This method is commonly used for representing dense graphs.
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Incidence Matrix: This is a method where a matrix is used to represent both the vertices and edges of the graph. The rows of the matrix represent the vertices, and the columns represent the edges. The entries in the matrix indicate whether a vertex is incident to an edge. This method is commonly used for representing directed graphs.
Based on the given options, the correct answer is: Adjacency List, Adjacency Matrix as well as Incidence Matrix.
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Which of these adjacency matrices represents a simple graph?Marks : 1Negative Marks : 0Answer here[ [1, 0, 0], [0, 1, 0], [0, 1, 1] ][ [0, 0, 1], [1, 0, 1], [1, 0, 0] ][ [1, 1, 1], [1, 1, 1], [1, 1, 1] ][ [0, 0, 1], [0, 0, 0], [0, 0, 1] ]
- Contrast adjacency matrix and adjacency list representations for a graph. explain it for 5 marks
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