Let's recall the definition of clustering
coefficient. The clustering of a node is
the fraction of all possible pairs of
friends that are friends with each other.
So Dan has two friends, Sara and Alan.
And they're not friends with each other.
So Dan's clustering is 0. The same for
all the other nodes. They all have the
same situation. So if we take the average
of all those, it's just 0. So that's the
clustering coefficient. However, if we
look at this network, now that a single
link has been rewired. You can see that
Lynn and Jane still have clustering of 0.
Each one of them has a 0. Ok, Sara has
three friends, so there's 3 possible
pairs: Jane to Dan, Jane to Alan, and
Alan to Dan, and only one of those
actually is a friendship link. So Sara
has a clustering of 1/3. Ok, Dan has 2
friends, and they're linked. So his
clustering is 1. All of his friends are
linked. They're friends with each other.
Alan is in the same boat - he has two
friends, and his friends are friends, so
he has 1. Now, if you take the average of
1,1, 1/3, 0, and 0, you get 0.47. So
that's the answer, here.