Exact solution of the row-convex polygon perimeter generating function

DOI10.1088/0305-4470/23/12/016zbMath0708.05002OpenAlexW2066486509WikidataQ67576682 ScholiaQ67576682MaRDI QIDQ3489998

Anthony J. Guttmann, Ian G. Enting, Richard Brak

Publication date: 1990

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d1adcee92a4129d55ab4b06bf5c8bafb7be8360f

zbMATH Keywords

square latticeasymptotic expressioninhomogeneous linear differential equationperimeter generating functionrow-convex polygons

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Linear ordinary differential equations and systems (34A30) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Asymptotic enumeration (05A16)

Related Items (9)

Exact scaling behavior of partially convex vesicles ⋮ A method for the enumeration of various classes of column-convex polygons ⋮ A new way of counting the column-convex polyominoes by perimeter ⋮ Unnamed Item ⋮ The perimeter generating function for nondirected diagonally convex polyominoes ⋮ The perimeter of words ⋮ Automated counting of lego towers ⋮ Enumeration of three-dimensional convex polygons ⋮ Synergistic development of differential approximants and the finite lattice method in lattice statistics

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