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Coates graph : ウィキペディア英語版 | Coates graph In mathematics, the Coates graph or Coates flow graph, named after C.L. Coates, is a graph associated with the Coates' method for the solution of a system of linear equations.〔〔 The Coates graph ''G''''c''(A) associated with an ''n'' × ''n'' matrix A is an ''n''-node, weighted, labeled, directed graph. The nodes, labeled 1 through ''n'', are each associated with the corresponding row/column of A. If entry ''a''''ji'' ≠ 0 then there is a directed edge from node ''i'' to node ''j'' with weight ''a''''ji''.〔 In other words, the Coates graph for matrix A is the one whose adjacency matrix is the transpose of A. == See also ==
* Flow graph (mathematics) * Mason graph
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