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uniform matroid : ウィキペディア英語版
uniform matroid
In mathematics, a uniform matroid is a matroid in which every permutation of the elements is a symmetry.
==Definition==
The uniform matroid U{}^r_n is defined over a set of n elements. A subset of the elements is independent if and only if it contains at most r elements. A subset is a basis if it has exactly r elements, and it is a circuit if it has exactly r+1 elements. The rank of a subset S is \min(|S|,r) and the rank of the matroid is r.〔. For the rank function, see p. 26.〕〔.〕
A matroid of rank r is uniform if and only if all of its circuits have exactly r+1 elements.〔, p. 27.〕
The matroid U{}^2_n is called the n-point line.

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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