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polymatroid : ウィキペディア英語版
polymatroid

In mathematics, polymatroid is a polytope associated with a submodular function. The notion was introduced by Jack Edmonds in 1970.〔
==Definition==
Consider any submodular set function f on E. Then define two associated polyhedra.
# EP_f:=\x(e)\leq f(U), \forall U\subseteq E\}
# P_f:=EP_f\cap \
Here P_f is called the polymatroid and EP_f is called the extended polymatroid associated with f.〔

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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