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Min-plus matrix multiplication, also known as the distance product, is an operation on matrices. Given two matrices and , their distance product is defined as an matrix such that . This operation is closely related to the shortest path problem. If is an matrix containing the edge weights of a graph, then gives the distances between vertices using paths of length at most edges, and is the distance matrix of the graph. == References == * Uri Zwick. 2002. (All pairs shortest paths using bridging sets and rectangular matrix multiplication ). ''J. ACM'' 49, 3 (May 2002), 289–317. * Liam Roditty and Asaf Shapira. 2008. (All-Pairs Shortest Paths with a Sublinear Additive Error ). ICALP '08, Part I, LNCS 5125, pp. 622–633, 2008. 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「Min-plus matrix multiplication」の詳細全文を読む スポンサード リンク
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