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Level and pseudo-Gorenstein path polyominoes

  • Giancarlo Rinaldo,
  • Francesco Romeo,
  • Rajib Sarkar

摘要

We classify path polyominoes which are level and pseudo-Gorenstein. Moreover, we compute all level and pseudo-Gorenstein simple thin polyominoes with rank less than or equal to 10. We also compute the regularity of the pseudo-Gorenstein simple thin polyominoes in relation to their rank.