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A polyhedron ''P'' has the integer decomposition property, if for any natural number ''k'' and any integer vector <math>x\in kP</math>, there
exist ''k'' integer vectors <math>x_1,\ldots,x_k\in P</math> with <math>x_1+\ldots+x_k=x</math>. Here ''kP'' is the set of vectors which can be decomposed to the sum of ''k'' (not necessarly integer) vectors in ''P''.
[[Category:Definitions]]
