High-dimensional holeyominoes

DOI10.37236/10515zbMath1494.05021arXiv2104.04558OpenAlexW3155294567MaRDI QIDQ2161201

Érika Roldán, Fedor Manin, Greg Malen

Publication date: 4 August 2022

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04558

zbMATH Keywords

polyominoesLee metrictoric polycube

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Asymptotic enumeration (05A16) Polyominoes (05B50) Extremal combinatorics (05D99)

Cites Work

• Formulae and growth rates of high-dimensional polycubes
• Extremal topological and geometric problems for polyominoes
• Polygons, polyominoes and polycubes
• Concatenation arguments and their applications to polyominoes and polycubes
• 1/d-expansions for the free energy of weakly embedded site animal models of branched polymers
• Metaphors in systolic geometry
• Polyominoes with maximally many holes
• Cell Growth Problems
• Perfect Codes in the Lee Metric and the Packing of Polyominoes
• Checker Boards and Polyominoes
• Improved upper bounds on the growth constants of polyominoes and polycubes

This page was built for publication: High-dimensional holeyominoes