Question

In this exercise, you will illustrate a small network and calculate some of its basic properties....

In this exercise, you will illustrate a small network and calculate some of its basic
properties. For this case, it will be a social network though any network could do. You
will calculate PageRank for the network.
Given the following people (nodes) and relations (edges):
Nodes:
P1: Tom, P2: Jean, P3: Nat, P4: Steven, P5: Vijay, P6: Mary, P7: Oscar, P8: Michelle,

P9: Jian, P10: Clark
Edges:
P1 -> P4
P2 -> P1, P2 -> P4
P3 -> P2,
P4 <-> P10
P5 -> P4, P5 -> P1,
P6 -> P7, P6 -> P8, P6 -> P9, P6 -> P2
P7 -> P8, P7 <-> P1
P10 -> P6, P10 -> P1
P10 -> P9

Analyze the network network.

1. (2 points) Network characteristics

a. (1pt) Draw the network as a graph and a matrix

b. (1pt) Calculate the following metrics

i. (1pt) In degree of each node

ii. (1pt) Out degree of each node

Please answer your best. Thank you!

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