Enumeriation of parallelogram polyominoes with given bond and site perimeter

DOI10.1007/BF01788555zbMath0651.05027OpenAlexW2078740035MaRDI QIDQ1106234

B. Vauquelin, Delest, Marie-Pierre, Dominique Gouyou-Beauchamps

Publication date: 1987

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01788555

zbMATH Keywords

generating functionenumerationparallelogram polyominoesNarayana's numbersbond perimetersite perimeter

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Polyominoes (05B50)

Related Items

Unnamed Item, Enumeration of polyominoes using Macsyma, Exact scaling behavior of partially convex vesicles, Unnamed Item, Enumeration of the directed convex polyominoes, The perimeter and site-perimeter of set partitions, The site-perimeter of bargraphs, Unnamed Item, Polyominoes with minimum site-perimeter and full set achievement games, Circular bargraphs, Algorithms for polyominoes based on the discrete Green theorem, Area Limit Laws for Symmetry Classes of Staircase Polygons, The number of directed \(k\)-convex polyominoes, The site-perimeter of words, ECO:a methodology for the enumeration of combinatorial objects, The inner site-perimeter of compositions, Limit Distributions and Scaling Functions, Steep polyominoes, \(q\)-Motzkin numbers and \(q\)-Bessel functions, The site-perimeter of compositions, Dyck path enumeration, Succession rules and Deco polyominoes, \(Q\)-grammars and wall polyominoes, The discrete Green theorem and some applications in discrete geometry

Cites Work

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• Binomial determinants, paths, and hook length formulae
• Algebraic languages and polyominoes enumeration
• Generating functions for column-convex polyominoes
• Contributions to the Cell Growth Problem
• On the number of certain lattice polygons