Equitable coloring of interval graphs and products of graphs

Details Equitable coloring of interval graphs and products of graphs Equitable coloring of interval graphs and products of graphs

2009-03-08

arxiv.org/abs/0903.1396v1

Mathematics

Combinatorics

11 pages, Festschrift in honor of Man Keung Siu

Scientific paper

We confirm the equitable $\Delta$-coloring conjecture for interval graphs and
establish the monotonicity of equitable colorability for them. We further
obtain results on equitable colorability about square (or Cartesian) and cross
(or direct) products of graphs.

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