Equitable Colorings of Bounded Treewidth Graphs

  title={Equitable Colorings of Bounded Treewidth Graphs},
  author={Hans L. Bodlaender and Fedor V. Fomin},
A proper coloring of a graph G is equitable if the sizes of any two color classes are differ by at most one. The related notion is l-bounded coloring where each of the color classes is of cardinality ≤ l. We consider the problems to determine for a given graph G (and a given integer l) whether G has an equitable (l-bounded) coloring. We prove that both problems can be solved in polynomial time on graphs of bounded treewidth. 
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