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Enumerating polyominoes with fixed perimeter defect

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Publication:1689885
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DOI10.1016/j.endm.2017.06.021zbMath1378.05023OpenAlexW2742510660WikidataQ60692183 ScholiaQ60692183MaRDI QIDQ1689885

Gill Barequet, Andrei Asinowski, Yufei Zheng

Publication date: 18 January 2018

Full work available at URL: https://doi.org/10.1016/j.endm.2017.06.021


zbMATH Keywords

generating functionslinear recurrencepolyominoes


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Polyominoes (05B50)


Related Items (5)

Algorithms for counting minimum-perimeter lattice animals ⋮ Unnamed Item ⋮ The Perimeter of Proper Polycubes ⋮ Automatic generation of formulae for polyominoes with a fixed perimeter defect ⋮ Polycubes with small perimeter defect


Uses Software

  • OEIS


Cites Work

  • Unnamed Item
  • Unnamed Item
  • A pattern theorem for lattice clusters
  • On two-dimensional percolation
  • Cell Growth Problems
  • A Procedure for Improving the Upper Bound for the Number of n-Ominoes




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