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The Graph Isomorphism Algorithm: Graph Isomorphism is in P

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Product Code: 9781466394377
ISBN13: 9781466394377
Condition: New
$17.52

The Graph Isomorphism Algorithm: Graph Isomorphism is in P

$17.52
 
We present a new polynomial-time algorithm for determining whether two given graphs are isomorphic or not. We prove that the algorithm is necessary and sufficient for solving the Graph Isomorphism Problem in polynomial-time, thus showing that the Graph Isomorphism Problem is in P. The semiotic theory for the recognition of graph structure is used to define a canonical form of the sign matrix of a graph. We prove that the canonical form of the sign matrix is uniquely identifiable in polynomial-time for isomorphic graphs. The algorithm is demonstrated by solving the Graph Isomorphism Problem for many of the hardest known examples. We implement the algorithm in C++ and provide a demonstration program for Microsoft Windows.


Author: John-Tagore Tevet
Publisher: Createspace Independent Publishing Platform
Publication Date: Oct 02, 2011
Number of Pages: 38 pages
Binding: Paperback or Softback
ISBN-10: 1466394374
ISBN-13: 9781466394377
 

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