Asymptotic Analysis and Random Sampling of Digitally Convex Polyominoes

Autor: Bodini, Olivier, Jacquot, Alice, Duchon, Philippe, Mutafchiev, Ljuben R.
Rok vydání: 2013
Předmět:
Zdroj: Discrete Applied Mathematics (2013) 1-23
Druh dokumentu: Working Paper
Popis: Recent work of Brlek \textit{et al.} gives a characterization of digitally convex polyominoes using combinatorics on words. From this work, we derive a combinatorial symbolic description of digitally convex polyominoes and use it to analyze their limit properties and build a uniform sampler. Experimentally, our sampler shows a limit shape for large digitally convex polyominoes.
Databáze: arXiv