On a Binary-Encoded ILP Coloring Formulation

We further develop the 0/1 ILP formulation of Lee for edge coloring where colors are encoded in binary. With respect to that formulation, our main contributions are: (i) an efficient separation algorithm for general block inequalities, (ii) an efficient LP-based separation algorithm for stars (i.e., the all-different polytope), (iii) introduction of matching inequalities, (iv) introduction of switched path inequalities and their efficient separation, (v) a complete description for paths, and (vi) promising computational results.

By: Jon Lee, François Margot

Published in: RC23324 in 2004

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