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About: Coates graph     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatEquations, within Data Space : dbpedia.org associated with source document(s)

Type: softwareyago:WikicatApplication-specificGraphsyago:Abstraction100002137yago:Communication100033020yago:Equation106669864yago:Graph107000195yago:MathematicalStatement106732169yago:Message106598915yago:Statement106722453yago:VisualCommunication106873252yago:WikicatEquations New Facet based on Instances of this Class

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 Gc(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 aji ≠ 0 then there is a directed edge from node i to node j with weight aji. In other words, the Coates graph for matrix A is the one whose adjacency matrix is the transpose of A.