Have a set where all members are connected directly or indirectly. A-B means A and B are connected directly. Order of A-B or B-A immaterial. A-B and B-C means A and C are indirectly connected. A, B, C, ... are ID nos.

Now want to find the largest collection (sub set) where each is directly connected with each other - if X-Y, X-Z, Y-Z then X, Y and Z are directly connected. If more than one such sub set, then would like to have all such sub sets, if possible.

This seems more a Graph problem than a Set problem. Looked at all the Graph and Set modules but could not find anything. Googled too.

Surprised that this problem is not common. Help appreciated

In reply to Sub set where all are connected by Sanjay

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