The following image shows a graph with 7 vertices (nodes) labelled from 1 to 7 and edges connecting some of the vertices. 3 6 The adjacency matrix of a graph is the matrix A = (Aij) with Aj = 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 Aij. Thereafter, define a function vdeg 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 vdeg to determine the degrees of all vertices of the above graph and store the result in the variable example_degrees.

The following image shows a graph with 7 vertices (nodes) labelled from 1 to 7 and edges connecting some of the vertices. 3 6 The adjacency matrix of a graph is the matrix A = (Aij) with Aj = 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 Aij. Thereafter, define a function vdeg 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 vdeg to determine the degrees of all vertices of the above graph and store the result in the variable example_degrees.

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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