Computing Minimum Tile Sets to Self-Assemble Colors Patterns

Aleck C. Johnsen; Ming-Yang Kao; Shinnosuke Seki

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arXiv · 1404.2962

Computing Minimum Tile Sets to Self-Assemble Colors Patterns

Aleck C. Johnsen·Ming-Yang Kao·Shinnosuke Seki

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Abstract

Patterned self-assembly tile set synthesis (PATS) aims at finding a minimum tile set to uniquely self-assemble a given rectangular color pattern. For $k \ge 1$, $k$-PATS is a variant of PATS that restricts input patterns to those with at most $k$ colors. We prove the {\bf NP}-hardness of 29-PATS, where the best known is that of 60-PATS.

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BibTeX RIS

Aleck C. Johnsen, Ming-Yang Kao, Shinnosuke Seki. 2014-04-10. Computing Minimum Tile Sets to Self-Assemble Colors Patterns. https://arxiv.org/abs/1404.2962

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