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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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