Formulae and Growth Rates of High-Dimensional Polycubes

DOI10.1016/j.endm.2009.07.076zbMath1273.05037OpenAlexW2596033460MaRDI QIDQ2851503

Günter Rote, Ronnie Barequet, Gill Barequet

Publication date: 10 October 2013

Published in: Electronic Notes in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.endm.2009.07.076

zbMATH Keywords

lattice animalspolyominoesfacet-connected set of cubesfixed polycubesgrowth-rate limitnumber of polycubes

Mathematics Subject Classification ID

Polyominoes (05B50)

Related Items (2)

Counting Polycubes without the Dimensionality Curse ⋮ Counting polycubes without the dimensionality curse

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A pattern theorem for lattice clusters
• The impact of large-scale computing on lattice statistics.
• 1/d-expansions for the free energy of weakly embedded site animal models of branched polymers
• Counting Polycubes without the Dimensionality Curse
• Counting d-Dimensional Polycubes and Nonrectangular Planar Polyominoes
• Counting multidimensional polyominoes
• 1/d-expansions for the free energy of lattice animal models of a self-interacting branched polymer
• Relationships between growth constants for animals and trees (lattice theory)
• Cell Growth Problems
• A Procedure for Improving the Upper Bound for the Number of n-Ominoes

This page was built for publication: Formulae and Growth Rates of High-Dimensional Polycubes