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Yin-Yang Puzzles are NP-complete

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 نشر من قبل Erik Demaine
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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We prove NP-completeness of Yin-Yang / Shiromaru-Kuromaru pencil-and-paper puzzles. Viewed as a graph partitioning problem, we prove NP-completeness of partitioning a rectangular grid graph into two induced trees (normal Yin-Yang), or into two induced connected subgraphs (Yin-Yang without $2 times 2$ rule), subject to some vertices being pre-assigned to a specific tree/subgraph.



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