翻訳と辞書 Words near each other ・ Strength athletics in Norway ・ Strength athletics in Sweden ・ Strength athletics in the United Kingdom and Ireland ・ Strength athletics in the United States ・ Strength in Democracy ・ Strength in Democracy candidates, 2015 Canadian federal election ・ Strength in Numbers ・ Strength in Numbers (24-7 Spyz album) ・ Strength in Numbers (38 Special album) ・ Strength in Numbers (band) ・ Strength in Numbers (Calla album) ・ Strength in Numbers (song) ・ Strength in Numbers (The Music album) ・ Strength in Unity Alliance ・ Strength level ・ Strength of a graph ・ Strength of Heart ・ Strength of materials ・ Strength of schedule ・ Strength of Serbia Movement ・ Strength of ships ・ Strength of Steel ・ Strength of the Sword 3 ・ Strength Power Will Passion ・ Strength reduction ・ Strength tester ・ Strength tester machine ・ Strength Through Joy ・ Strength Through Vengeance ・ Strength Thru Oi! Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Strength of a graph ： ウィキペディア英語版 Strength of a graph In the branch of mathematics called graph theory, the strength of an undirected graph corresponds to the minimum ratio ''edges removed''/''components created'' in a decomposition of the graph in question. It is a method to compute partitions of the set of vertices and detect zones of high concentration of edges. == Definitions == The strength $\backslash sigma(G)$ of an undirected simple graph ''G'' = (''V'', ''E'') admits the three following definitions: * Let $\backslash Pi$ be the set of all partitions of $V$, and $\backslash partial\; \backslash pi$ be the set of edges crossing over the sets of the partition $\backslash pi\backslash in\backslash Pi$, then $\backslash displaystyle\backslash sigma(G)=\backslash min\_\backslash frac$. * Also if $\backslash mathcal\; T$ is the set of all spanning trees of ''G'', then :: $\backslash sigma(G)=\backslash max\backslash left\backslash \backslash \; \backslash lambda\_T\backslash geq\; 0\backslash mbox\backslash forall\; e\backslash in\; E\backslash \; \backslash sum\_\backslash lambda\_T\backslash leq1\backslash right\backslash \}.$ * And by linear programming duality, :: $\backslash sigma(G)=\backslash min\backslash left\backslash \backslash forall\; T\backslash in\; \backslash \; \backslash sum\_y\_e\backslash geq1\backslash right\backslash \}.$ 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「Strength of a 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.