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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 Circular-arc graph ： ウィキペディア英語版 Circular-arc graph In graph theory, a circular-arc graph is the intersection graph of a set of arcs on the circle. It has one vertex for each arc in the set, and an edge between every pair of vertices corresponding to arcs that intersect. Formally, let :$I\_1,\; I\_2,\; \backslash ldots,\; I\_n\; \backslash subset\; C\_1$ be a set of arcs. Then the corresponding circular-arc graph is ''G'' = (''V'', ''E'') where :$V\; =\; \backslash$ and :$\backslash \; \backslash in\; E\; \backslash iff\; I\_\backslash alpha\; \backslash cap\; I\_\backslash beta\; \backslash neq\; \backslash varnothing.$ A family of arcs that corresponds to G is called an ''arc model''. == Recognition == demonstrated the first polynomial recognition algorithm for circular-arc graphs, which runs in $(n^3)$ time. More recently, gave the first linear $((n+m))$ time recognition algorithm. 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「Circular-arc 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.