Enumeration of generalized polyominoes

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dc.creatorKoch, Matthias
dc.creatorKurz, Sascha
dc.date2006-05-05
dc.date.accessioned2026-07-07T07:13:56Z
dc.date.available2026-07-07T07:13:56Z
dc.descriptionAs a generalization of polyominoes we consider edge-to-edge connected nonoverlapping unions of regular $k$-gons. For $n\le 4$ we determine formulas for the number $a_k(n)$ of generalized polyominoes consisting of $n$ regular $k$-gons. Additionally we give a table of the numbers $a_k(n)$ for small $k$ and $n$ obtained by computer enumeration. We finish with some open problems for $k$-polyominoes.
dc.description10 pages, 6 figures, 3 tables
dc.identifierhttps://arxiv.org/abs/math/0605144
dc.identifierhttp://arxiv.org/abs/math/0605144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112672
dc.subjectCombinatorics
dc.subject05B50
dc.titleEnumeration of generalized polyominoes
dc.typetext

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