The Graph Isomorphism Algorithm
Download and Read The Graph Isomorphism Algorithm full books in PDF, ePUB, and Kindle. Read online free The Graph Isomorphism Algorithm ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
The Graph Isomorphism Algorithm
Author | : Ashay Dharwadker |
Publisher | : Institute of Mathematics |
Total Pages | : 42 |
Release | : 2009-08-08 |
Genre | : Mathematics |
ISBN | : 1466394374 |
Download The Graph Isomorphism Algorithm Book in PDF, Epub and Kindle
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.
The Graph Isomorphism Algorithm Related Books
Pages: 42
Pages: 168
Pages: 328
Pages: 401
Pages: 492