The growth rate of high-dimensional tree polycubes

DOI10.1016/j.ejc.2013.06.007zbMath1292.52010OpenAlexW2048657418MaRDI QIDQ2509733

Gadi Aleksandrowicz, Gill Barequet

Publication date: 29 July 2014

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2013.06.007

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Asymptotic enumeration (05A16) Polyominoes (05B50)

Cites Work

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• 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
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• On the enumeration of planar trees of hexagons
• Counting multidimensional polyominoes
• 1/d-expansions for the free energy of lattice animal models of a self-interacting branched polymer
• Statistics of lattice animals (polyominoes) and polygons
• Cell Growth Problems
• The enumeration of tree-like polyhexes
• A Procedure for Improving the Upper Bound for the Number of n-Ominoes

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