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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 Wiener index ： ウィキペディア英語版 Wiener index In chemical graph theory, the Wiener index (also Wiener number) is a topological index of a molecule, defined as the sum of the lengths of the shortest paths between all pairs of vertices in the chemical graph representing the non-hydrogen atoms in the molecule.〔.〕 ==History== The Wiener index is named after Harry Wiener, who introduced it in 1947; at the time, Wiener called it the "path number".〔.〕 It is the oldest topological index related to molecular branching.〔.〕 Based on its success, many other topological indexes of chemical graphs, based on information in the distance matrix of the graph, have been developed subsequently to Wiener's work.〔. See in particular Table 2 on p. 32.〕 The same quantity has also been studied in pure mathematics, under various names including the gross status, the distance of a graph,〔.〕 and the transmission.〔.〕 The Wiener index is also closely related to the closeness centrality of a vertex in a graph, a quantity inversely proportional to the sum of all distances between the given vertex and all other vertices that has been frequently used in sociometry and the theory of social networks.〔 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「Wiener index」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.