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Статья

The coloring problem for classes with two small obstructions

Optimization Letters. 2014. Vol. 8. No. 8. P. 2261-2270.

The coloring problem is studied in the paper for graph classes defined by two small forbidden induced subgraphs. We prove some sufficient conditions for effective solvability of the problem in such classes. As their corollary we determine the computational complexity for all sets of two connected forbidden induced subgraphs with at most five vertices except 13 explicitly enumerated cases.