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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Nine coins are placed in a 3-by-3 matrix with someface up and some face down. You can represent the state of the coins using a3-by-3 matrix with values 0 (heads) and 1 (tails). Here are some examples:0 0 0 1 0 1 1 1 0 1 0 1 1 0 00 1 0 0 0 1 1 0 0 1 1 0 1 1 10 0 0 1 0 0 0 0 1 1 0 0 1 1 0Each state can also be represented using a binary number. For example, the precedingmatrices correspond to the numbers000010000 101001100 110100001 101110100 100111110There are a total of 512 possibilities, so you can use decimal numbers 0, 1, 2,3, . . . , and 511 to represent all states of the matrix. Write a program that promptsthe user to enter a number between 0 and 511 and displays the correspondingmatrix with the characters H and T. Here is a sample run: Enter a number between 0 and 511: 7 ↵EnterH H HH H HT T T The user entered 7, which corresponds to 000000111. Since 0 stands for H and1 for T, the output is correct.
Type of work: Individual work You are given an nxn matrix. Find if it has a visual 'envelope' pattern. First input is n, remaining numbers are the binary matrix content. Result should be 1 or 0 (envelope or not, respectively). By envelope, we mean, boundary, diagonal and anti-diagonal are set to 1, others are set to 0. You should use at most 6 loops (utilize functions), otherwise there may be grade reductions. Your solution should work for any n; it should be generalizable. So, use malloc to allocate multi-dimensional array. If the input is 11111 11011 10101 11011 11111 the result should be 1 If the input is 5 10101 11011 10101 11010 10111 the result should be 0 (boundaries are not set to 1). 1 0 0 0 Below are the examples of diagonal and anti-diagonal of a matrix. 0 1 0 0 1 1 1 0 0 0 1 1
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6 591 9 1 75 1 3 10 8 8 5 8 G746
: The adjacency matrix that represents the following graph is 3 1. 4.
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.
Study the graph below and write an algorithm in pseudocode that implements this graph using an adjacency matrix. Your matrix should be named, nustMap. Your program/algorithm should print the resulting matrix. Ehaus FCI House Auditoria building
* We can view a particular element in a matrix by specifying its location O T OF
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