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The following image shows a graph with 6 vertices (nodes) labelled from 1 to 6 and edges connecting some of the vertices. 4 3 5 2 6 1 The adjacency matrix of a graph is the matrix A = (Aij) with Aij = 1 if there is an edge connecting the vertices i and j and Aij = 0 otherwise. Set up the adjacency matrix of the above graph and assign it to the variable adjacency_matrix. Represent the matrix as a list of lists such that adjacency_matrix[i-1] [j-1] corresponds to A¡j. Thereafter, define a function num_vertex_connections that takes an adjacency matrix (in the same format) and returns a list of the degrees of the vertices. The degree of a vertex is the number of other vertices that it is connected to. Use the function num_vertex_connections to determine the degrees of all vertices of the above graph and store the result in the variable degrees.

The following image shows a graph with 6 vertices (nodes) labelled from 1 to 6 and edges connecting some of the vertices. 4 3 5 2 6 1 The adjacency matrix of a graph is the matrix A = (Aij) with Aij = 1 if there is an edge connecting the vertices i and j and Aij = 0 otherwise. Set up the adjacency matrix of the above graph and assign it to the variable adjacency_matrix. Represent the matrix as a list of lists such that adjacency_matrix[i-1] [j-1] corresponds to A¡j. Thereafter, define a function num_vertex_connections that takes an adjacency matrix (in the same format) and returns a list of the degrees of the vertices. The degree of a vertex is the number of other vertices that it is connected to. Use the function num_vertex_connections to determine the degrees of all vertices of the above graph and store the result in the variable degrees.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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The following image shows a graph with 6 vertices (nodes) labelled from 1 to 6 and edges connecting some of the vertices. 4 3 5 2 6 1 The adjacency matrix of a graph is the matrix A = (Aij) with Aij = 1 if there is an edge connecting the vertices i and j and Aij = 0 otherwise. Set up the adjacency matrix of the above graph and assign it to the variable adjacency_matrix. Represent the matrix as a list of lists such that adjacency_matrix[i-1] [j-1] corresponds to A¡j. Thereafter, define a function num_vertex_connections that takes an adjacency matrix (in the same format) and returns a list of the degrees of the vertices. The degree of a vertex is the number of other vertices that it is connected to. Use the function num_vertex_connections to determine the degrees of all vertices of the above graph and store the result in the variable degrees.
Transcribed Image Text:The following image shows a graph with 6 vertices (nodes) labelled from 1 to 6 and edges connecting some of the vertices. 4 3 5 2 6 1 The adjacency matrix of a graph is the matrix A = (Aij) with Aij = 1 if there is an edge connecting the vertices i and j and Aij = 0 otherwise. Set up the adjacency matrix of the above graph and assign it to the variable adjacency_matrix. Represent the matrix as a list of lists such that adjacency_matrix[i-1] [j-1] corresponds to A¡j. Thereafter, define a function num_vertex_connections that takes an adjacency matrix (in the same format) and returns a list of the degrees of the vertices. The degree of a vertex is the number of other vertices that it is connected to. Use the function num_vertex_connections to determine the degrees of all vertices of the above graph and store the result in the variable degrees.
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