Compact Polyominoes

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Shahin Kamali

Published: 2021, Last Modified: 25 Jan 2025DCC 2021EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: We provide a compact representation of polyominoes with n cells that supports navigation and visibility queries in constant time. Our oracle takes 3n +o(n) bits. Previous enumeration efforts indicate that at least 2.00091 n -o(n) bits (likely 2.021 n -o(n) bits) are required to distinguish polyominoes, hence confirming that our oracle is compact.