Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice

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dc.creatorGouyou-Beauchamps, Dominique
dc.creatorLeroux, Pierre
dc.date2004-03-10
dc.date.accessioned2026-07-07T06:22:50Z
dc.date.available2026-07-07T06:22:50Z
dc.descriptionHexagonal polyominoes are polyominoes on the honeycomb lattice. We enumerate the symmetry classes of convex hexagonal polyominoes. Here convexity is to be understood as convexity along the three main column directions. We deduce the generating series of free (i.e. up to reflection and rotation) and of asymmetric convex hexagonal polyominoes, according to area and half-perimeter. We give explicit formulas or implicit functional equations for the generating series, which are convenient for computer algebra.
dc.description21 pages, 16 figures, 2 tables. This is the full version of a paper presented at the FPSAC Conference in Vancouver, Canada, June 28 -- July 2, 2004
dc.identifierhttps://arxiv.org/abs/math/0403168
dc.identifierhttp://arxiv.org/abs/math/0403168
dc.identifierTheoretical Computer Science 346 (2005), 307--334.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96030
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.subject05A15 05A30 82B20
dc.titleEnumeration of symmetry classes of convex polyominoes on the honeycomb lattice
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