About generation of non-isomorphic vertex k-colorings | Applied Discrete Mathematics. Supplement. 2017. № 10. DOI: 10.17223/2226308X/10/53

About generation of non-isomorphic vertex k-colorings

In this paper, we study the generation problem for non-isomorphic vertex and edge k-colorings of a given graph. An algorithm for generating all the non-isomorphic vertex k-colorings of a graph by the Reed - Faradzhev method without using an isomorphism testing technique is suggested. The problem of generating edge k-colorings is reduced to the problem of generating vertex k-colorings.

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Keywords

граф, раскраска, изоморфизм, вершинная раскраска, рёберная раскраска, graph, isomorphism, coloring, vertex coloring

Authors

NameOrganizationE-mail
Abrosimov M. B.Chernyshevsky Saratov State University mic@rambler.ru
Razumovsky P. V.Chernyshevsky Saratov State University shprotby@gmail.com
Всего: 2

References

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McKay B. D. and Piperno A. Practical graph isomorphism // J. Symbolic Computation. 2013. V.2. No. 60. P. 94-112.
 About generation of non-isomorphic vertex k-colorings | Applied Discrete Mathematics. Supplement. 2017. № 10. DOI: 10.17223/2226308X/10/53

About generation of non-isomorphic vertex k-colorings | Applied Discrete Mathematics. Supplement. 2017. № 10. DOI: 10.17223/2226308X/10/53