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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Odd graph ： ウィキペディア英語版 Odd graph In the mathematical field of graph theory, the odd graphs ''On'' are a family of symmetric graphs with high odd girth, defined from certain set systems. They include and generalize the Petersen graph. ==Definition and examples== The odd graph ''On'' has one vertex for each of the (''n'' − 1)-element subsets of a (2''n'' − 1)-element set. Two vertices are connected by an edge if and only if the corresponding subsets are disjoint. That is, ''On'' is a Kneser graph ''KG''(2''n'' − 1,''n'' − 1). ''O''2 is a triangle, while ''O''3 is the familiar Petersen graph. The generalized odd graphs include the odd graphs and the folded cube graphs, and are defined as distance-regular graphs with diameter ''n'' − 1 and odd girth 2''n'' − 1 for some ''n''.〔 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「Odd graph」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.