Move-minimizing puzzles and diamond-colored modular/distributive lattices

Published 2 Oct 2017 in math.CO | (1710.01597v4)

Abstract: The move-minimizing puzzles presented here are certain types of one-player combinatorial games that are shown to have explicit solutions whenever they can be encoded in a certain way as diamond-colored modular or distributive lattices. Our work here is founded in a new interpretation of some routine and elementary order-theoretic combinatorics.

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