A method for the enumeration of various classes of column-convex polygons
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Publication:1918535
DOI10.1016/0012-365X(95)00003-FzbMath0858.05006WikidataQ56874209 ScholiaQ56874209MaRDI QIDQ1918535
Publication date: 23 March 1997
Published in: Discrete Mathematics (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- The self-avoiding walk.
- Equivalence of the two-dimensional directed animal problem to a one- dimensional path problem
- Empilements de segments et \(q\)-énumération de polyominos convexes dirigés. (Heaps of segments and \(q\)-enumeration of directed convex polyominoes)
- Coding the convex polyominoes and equations for the enumeration according to the area
- The generating function of convex polyominoes: The resolution of a \(q\)- differential system
- Algebraic languages and polyominoes enumeration
- New enumerative results on two-dimensional directed animals
- A new way of counting the column-convex polyominoes by perimeter
- Generating functions for column-convex polyominoes
- Asymptotic bounds for the number of convex \(n\)-ominoes
- Combinatorial Problems Suggested by the Statistical Mechanics of Domains and of Rubber-Like Molecules
- Exact solution of the row-convex polygon perimeter generating function
- Exact solution of the staircase and row-convex polygon perimeter and area generating function
- Exact results for the generating function of directed column-convex animals on the square lattice
- Directed column-convex polyominoes by recurrence relations
- A Procedure for Improving the Upper Bound for the Number of n-Ominoes