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An improved upper bound on the growth constant of polyiamonds

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Publication:6621157
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MaRDI QIDQ6621157

Günter Rote, Mira Shalah, Gill Barequet

Publication date: 18 October 2024

Published in: Acta Mathematica Universitatis Comenianae. New Series (Search for Journal in Brave)





Mathematics Subject Classification ID

Asymptotic enumeration (05A16) Polyominoes (05B50)


Cites Work

  • Unnamed Item
  • Unnamed Item
  • An improved upper bound on the growth constant of polyominoes
  • A pattern theorem for lattice clusters
  • The On-Line Encyclopedia of Integer Sequences
  • Combinatorial Problems Suggested by the Statistical Mechanics of Domains and of Rubber-Like Molecules
  • Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates
  • Animals, Trees and Renewal Sequences
  • COUNTING d-DIMENSIONAL POLYCUBES AND NONRECTANGULAR PLANAR POLYOMINOES
  • Cell Growth Problems
  • An improved lower bound on the growth constant of polyiamonds


Related Items (2)

On the exponential growth rates of lattice animals and interfaces ⋮ On the number of compositions of two polycubes






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