Algorithms for the graph isomorphism problem based on graph deregularisation
Prikladnaâ diskretnaâ matematika, no. 10 (2009), pp. 101-102

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Complexity of the graph isomorphism problem is still an open question. There are no proofs of its NP-completeness or its NP-hardness either. And yet no polynomial-time algorithm for the problem has been designed. We present schemes of algorithms for the graph isomorphism problem. These schemes are based on a successive simplifying tested graphs. Presented algorithms use elements of inverse matrices of the modified graph adjacency matrices as a graph invariant. Results of numerical experiments and computational complexity of the algorithms are considered.
@article{PDM_2009_10_a52,
     author = {I. V. Shirokov and A. V. Prolubnikov},
     title = {Algorithms for the graph isomorphism problem based on graph deregularisation},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {101--102},
     publisher = {mathdoc},
     number = {10},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2009_10_a52/}
}
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I. V. Shirokov; A. V. Prolubnikov. Algorithms for the graph isomorphism problem based on graph deregularisation. Prikladnaâ diskretnaâ matematika, no. 10 (2009), pp. 101-102. http://geodesic.mathdoc.fr/item/PDM_2009_10_a52/