1 4 6 8) 10 a. Construct the adjacency matrix. Why is it a block-diagonal matrix? b. Construct the adjacency matrix of its two projections, on the purple and on the green nodes, respectively. c. Calculate the average degree of the purple nodes and the average degree of the green nodes in the bipartite network. d. Calculate the average degree in each of the two network projections. Is it surprising that the values are different from those obtained in part e? 3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 73EQ
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1
4
6
8)
10
a. Construct the adjacency matrix. Why is it a block-diagonal matrix?
b. Construct the adjacency matrix of its two projections, on the purple and on the green
nodes, respectively.
c. Calculate the average degree of the purple nodes and the average degree of the green
nodes in the bipartite network.
d. Calculate the average degree in each of the two network projections. Is it surprising
that the values are different from those obtained in part e?
3.
Transcribed Image Text:1 4 6 8) 10 a. Construct the adjacency matrix. Why is it a block-diagonal matrix? b. Construct the adjacency matrix of its two projections, on the purple and on the green nodes, respectively. c. Calculate the average degree of the purple nodes and the average degree of the green nodes in the bipartite network. d. Calculate the average degree in each of the two network projections. Is it surprising that the values are different from those obtained in part e? 3.
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