exact cover

(topology) Given a collection S of subsets of a set X: a subcollection S^* of S such that each element in X is contained in exactly one subset in S^*.

Japanese Meaning

与えられた集合 X の各要素が、ある部分集合族 S の中でちょうど1つの部分集合に含まれるような部分集合族 S* のこと。 / 全体集合を誤りなく、一度ずつ網羅する被覆を指す数学的概念（正確被覆または厳密被覆）

What is this buttons?

To prove the theorem, we constructed an exact cover of X from the given collection S so that each element of X belongs to exactly one chosen subset.

Google Translation / DeepL Translation

定理を証明するために、与えられた集合族SからXの各元がちょうど1つの選ばれた部分集合に含まれるような部分族を構成した。

Details

Sense（1）

(topology) Given a collection S of subsets of a set X: a subcollection S^* of S such that each element in X is contained in exactly one subset in S^*.

exact covers

（ plural ）

Details

exact cover

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