Avoiding Monochromatic Rectangles Using Shift Patterns

Zhenjun Liu, Leroy Chew, Marijn J. H. Heule · Proceedings of the International Symposium on Combinatorial Search · 2021

We show that enforcing shift patterns significantly reduces the cost to construct grids without monochromatic rectangles. Additionally, we prove that all valid 3-colorings of a 10 by 10 grid are isomorphic.

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