Coates Graph
Get Coates Graph essential facts below. View Videos or join the Coates Graph discussion. Add Coates Graph to your PopFlock.com topic list for future reference or share this resource on social media.
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.[1][2]

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.[3] In other words, the Coates graph for matrix A is the one whose adjacency matrix is the transpose of A.

See also

References

  1. ^ K. Thulasiraman, M. N. S. Swamy (1992). "§6.11 The Coates and Mason graphs". Graphs:Theory and Algorithms. pp. 163-169. ISBN 0-471-51356-3.
  2. ^ C.L. Coates (1959). "Flow-graph solutions of linear algebraic equations". IRE Trans. Circuit Theory. CT-6: 170-187. doi:10.1109/TCT.1959.1086537.
  3. ^ Definition from Wai-Kai Chen (1976). "The associated Coates graph". Applied Graph Theory. North Holland Publishing Company. p. 142.

  This article uses material from the Wikipedia page available here. It is released under the Creative Commons Attribution-Share-Alike License 3.0.

Coates_graph
 



 



 
Music Scenes