9. Let N be a simple, undirected social network with actor setA.
(a) Define a trivial equivalence relation R1 on A as follows: forall a, b ∈ A, a R1 b. Prove
that R1 is a regular equivalence relation. What is its quotientnetwork?
(b) Define a trivial equivalence relation R2 on A as follows: forall a, b ∈ A, a R2 b if and
only if a = b. Prove that R2 is a regular equivalence relation.What is its quotient
network?
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