Re: To which field does this belong?



On Fri, 22 Sep 2006 07:53:01 -0700, sol.hari wrote:

Which field of mathematics would describe an algorithm to solve the
problem below? What keywords should I use to point me in the right
direction?

Problem:
I have a set of n distinct elements T = {e_1, e_2, ..., e_n}, and m
subsets of T, S_1, S2, ... S_m, that can overlap.
I need to find the minimum number of subsets whose union equals T.

Thanks,
Hari
This is the set cover problem. Search for that in Wikipedia for example.
This is a (np) hard problem.
Duncan


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