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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 is defined over a set of elements. A subset of the elements is independent if and only if it contains at most elements. A subset is a basis if it has exactly elements, and it is a circuit if it has exactly elements. The rank of a subset is and the rank of the matroid is .〔. For the rank function, see p. 26.〕〔.〕 A matroid of rank is uniform if and only if all of its circuits have exactly elements.〔, p. 27.〕 The matroid is called the -point line.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Uniform matroid」の詳細全文を読む
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