Coates graph
≈ 2 min read
Names in other languages
No names in other languages are held for this entry yet.
Article bodies are English and are not machine-translated. A name in another language is not a translation of the article.
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.
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.
References
Text derived from https://en.wikipedia.org/w/index.php?oldid=1361823356 under CC BY-SA 4.0; modifications have been made.