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Repozytorium publikacji
Politechniki Gdańskiej

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Equitable coloring of hypergraphs

A hypergraph is equitablyk-colorable if its vertices can be partitioned into k sets/colorclasses in such a way that monochromatic edges are avoided and the number of verticesin any two color classes differs by at most one. We prove that the problem of equitable 2-coloring of hypergraphs is NP-complete even for 3-uniform hyperstars. Finally, we apply the method of dynamic programming for designing a polynomial-time algorithm to equitably k-color linear hypertrees, where k≥2 is fixed.

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