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Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice | | Dominique Gouyou-Beauchamps
; Pierre Leroux
; | | Date: |
10 Mar 2004 | | Subject: | Combinatorics; Mathematical Physics MSC-class: 05A15 05A30 82B20 | math.CO math-ph math.MP | | Affiliation: | LRI, CNRS, France) and Pierre Leroux (LaCIM, UQAM, Canada | | Abstract: | Hexagonal 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. | | Source: | arXiv, math.CO/0403168 | | Services: | Forum | Review | PDF | Favorites | |
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