How to get distance between me and some facebook user?

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Is it possible to find the smallest distance between me and some User A?
Just imagine:
User A knows someone, who knows someone, who knows someone, ... who knows someone that knows User B.
And I know this user B.

Will the Facebook API allow me to find all these Facebook users between User A and User B?
Or will I have to write my own algorithm to find the shortest distance between me and User A?
Maybe that kind of algorithm already exists...

I can imagine:
If that kind of User B does not exists, then Facebook API or software which cares about this problem will take a long time and maybe it will crash the system.

If that kind of User B exist, then algorithm should also find another that kind of User B in order to compare and get the smallest distance between me and User A!

So how to solve this problem?

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phwd On

This is called degree of separation. With the current limitations in Facebook API v2.0 and above this will not be possible.

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