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COMBINATORICS
2006
106views more  COMBINATORICS 2006»
13 years 8 months ago
Tilings by Translation: Enumeration by a Rational Language Approach
Beauquier and Nivat introduced and gave a characterization of the class of pseudo-square polyominoes that tile the plane by translation: a polyomino tiles the plane by translation...
Srecko Brlek, Andrea Frosini, Simone Rinaldi, Laur...
CPM
2001
Springer
130views Combinatorics» more  CPM 2001»
14 years 29 days ago
On-Line Construction of Compact Directed Acyclic Word Graphs
Directed Acyclic Word Graph (DAWG) is a space efficient data structure that supports indices of a string. Compact Directed Acyclic Word Graph (CDAWG) is a more space efficient vari...
Shunsuke Inenaga, Hiromasa Hoshino, Ayumi Shinohar...
COMBINATORICS
2002
82views more  COMBINATORICS 2002»
13 years 8 months ago
Non-Repetitive Tilings
In 1906 Axel Thue showed how to construct an infinite non-repetitive (or squarefree) word on an alphabet of size 3. Since then this result has been rediscovered many times and ext...
James D. Currie, Jamie Simpson
CORR
2011
Springer
188views Education» more  CORR 2011»
13 years 3 months ago
Primitive words and roots of words
In the algebraic theory of codes and formal languages, the set Q of all primitive words over some alphabet Σ has received special interest. With this survey article we give an ove...
Gerhard Lischke
MFCS
2004
Springer
14 years 1 months ago
A Generalization of Repetition Threshold
Brandenburg and (implicitly) Dejean introduced the concept of repetition threshold: the smallest real number α such that there exists an infinite word over a k-letter alphabet t...
Lucian Ilie, Pascal Ochem, Jeffrey Shallit