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» The origins of combinatorics on words
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SIAMDM
2011
14 years 4 months ago
Origins of Nonlinearity in Davenport-Schinzel Sequences
Abstract. A generalized Davenport–Schinzel sequence is one over a finite alphabet that excludes subsequences isomorphic to a fixed forbidden subsequence. The fundamental proble...
Seth Pettie
COMBINATORICS
2000
74views more  COMBINATORICS 2000»
14 years 9 months ago
Frequency Squares and Affine Designs
The known methods for constructing complete sets of mutually orthogonal frequency squares all yield one of two parameter sets. We show that almost all these constructions can be d...
Vassili C. Mavron
COMBINATORICS
2006
106views more  COMBINATORICS 2006»
14 years 10 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»
15 years 2 months 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»
14 years 9 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