(1) Consider the adjacency matrix A of a directed network of size N =4 given by 1 A = 1 0 0 1 0 we will indicate with 1 the column vector with elements N and we will indicate with Ithe identity matrix. In the following 1 for i = 1,2, - (a) Draw the network (b) Calculate the eigenvector centrality using its definition. (c) Calculate the Kate centrality. %3D %3D ... (1) lk gontrolity

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section2.5: The Inverse Of A Matrix
Problem 11P
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Course is Complex Networks. It would be appreciated if you please answer it in a shorter time span. Thanks
(1) Consider the adjacency matrix A of a directed network of size N 4 given
by
1
1
1
A =
0 0 0 1
0 0
In the following we will indicate with 1 the column vector with elements
i, =1 for i = 1, 2, ..., N and we will indicate with Ithe identity matrix.
(a) Draw the network
(b) Calculate the eigenvector centrality using its definition.
(c) Calculate the Kate centrality.
(d) Calculate the PageRank centrality.
Transcribed Image Text:(1) Consider the adjacency matrix A of a directed network of size N 4 given by 1 1 1 A = 0 0 0 1 0 0 In the following we will indicate with 1 the column vector with elements i, =1 for i = 1, 2, ..., N and we will indicate with Ithe identity matrix. (a) Draw the network (b) Calculate the eigenvector centrality using its definition. (c) Calculate the Kate centrality. (d) Calculate the PageRank centrality.
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