Re: To which field does this belong?



Well, I figured it out. It's called the "Set cover problem"

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

.



Relevant Pages

  • Re: To which field does this belong?
    ... What keywords should I use to point me in the right ... S_m, that can overlap. ... I need to find the minimum number of subsets whose union equals T. ... Your problem is a "set covering problem". ...
    (sci.math)
  • Re: To which field does this belong?
    ... Arturo Magidin wrote: ... What keywords should I use to point me in the right ... S_m, that can overlap. ... Or possibly as an integer programming optimization problem. ...
    (sci.math)
  • Re: To which field does this belong?
    ... What keywords should I use to point me in the right ... S_m, that can overlap. ... what I accept as reality." ... Arturo Magidin ...
    (sci.math)
  • Re: To which field does this belong?
    ... What keywords should I use to point me in the right ... S_m, that can overlap. ... Search for that in Wikipedia for example. ... This is a hard problem. ...
    (sci.math)