
October 5th, 2012, 04:16 PM
#1
Help me recognize classical problem in task
There is a task. For given lattice (isotropic discrete abelian group ) in R^3 for every vertice y let M(y)  set of neighbour vertices (not necessarily closest one's, for other vertice z: M(z)=M(y)+(zy)={a+z=y a \in M(y)}).
Find a mininmal with respect to cardinal subset B(y) of M(y) such that for every x \in M(y) :
B(y) \intersection B(x) isn't empty. (B(x)=B(y)+(xy)  again isotropical translation).
It seems to be NP problem but in which cases it could be solved
or at least equivalent tasks couldn't be obtained.

October 6th, 2012, 03:18 PM
#2
Re: Help me recognize classical problem in task
Originally Posted by icegood
There is a task.
I don't understand your formalism. Please explain the problem in layman terms without the abstract lingo. Preferably with an example. And where's the algorithm?
Also, the fact that a problem is NP complete doesn't mean it cannot be solved. It can, only not in polynominal time.
Last edited by nuzzle; October 7th, 2012 at 05:25 AM.
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