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arXiv · 1710.01597

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

Robert G. Donnelly·Elizabeth A. Donovan·Molly W. Dunkum·Timothy A. Schroeder
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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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Robert G. Donnelly, Elizabeth A. Donovan, Molly W. Dunkum, Timothy A. Schroeder. 2023-12-03. Move-minimizing puzzles and diamond-colored modular/distributive lattices. https://arxiv.org/abs/1710.01597

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