> Could you please validate the 2nd link since it is not working for me.

You're right, it appears that the citeseerx site is having issues.  That paper 
can also be found at 
http://www.thi.informatik.uni-frankfurt.de/~jukna/ftp/covering.pdf (the title 
is "On covering graphs by complete bipartite subgraphs").

> About you doubt, yes ALL the combination from the Input must be present in
> the response (grouped). Think you're representing the same combinations using
> a grouped/condensed view.

Luke's comment is accurate; this is not what I meant.  My understanding is that 
the groups have to represent all the given combinations (and no others); but is 
it OK for two groups to "overlap" partially?

As an example, suppose the input was such that you had a matrix like this:

  A  B  C  D
1 1  1  1  0
2 1  1  1  1
3 0  0  1  1

If we allow overlaps then (1 2 : ABC), (2 3 : CD) uses only two groups, while 
otherwise we need three groups (unless I overlooked something).  If you've ever 
drawn Karnaugh maps for simplifying boolean functions this is very reminiscent 
of that.

Luke's comment about considering the problem one level higher (so to speak) is 
rather good advice IMHO.  This is certainly a difficult problem to solve 
exactly, but maintaining an approximate solution in the face of small 
adjustments to the input may be tractable; also reducing the problem space via 
isomorphisms could help a lot.

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