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ITA
2007
13 years 8 months ago
An algorithm for deciding if a polyomino tiles the plane
: For polyominoes coded by their boundary word, we describe a quadratic O(n2) algorithm in the boundary length n which improves the naive O(n4) algorithm. Techniques used emanate f...
Ian Gambini, Laurent Vuillon
COMBINATORICS
2007
64views more  COMBINATORICS 2007»
13 years 8 months ago
An Analogue of the Thue-Morse Sequence
We consider the finite binary words Z(n), n ∈ N, defined by the following selfsimilar process: Z(0) := 0, Z(1) := 01, and Z(n + 1) := Z(n) · Z(n − 1), where the dot · deno...
Emmanuel Ferrand
COMBINATORICS
2000
82views more  COMBINATORICS 2000»
13 years 8 months ago
The Strongly Regular (40, 12, 2, 4) Graphs
In a previous paper it was established that there are at least 27 non-isomorphic strongly regular (40, 12, 2, 4) graphs. Using a different and more efficient method we have re-inv...
Edward Spence
LATA
2010
Springer
13 years 11 months ago
Avoidable Binary Patterns in Partial Words
The problem of classifying all the avoidable binary patterns in words has been completely solved (see Chapter 3 of M. Lothaire, Algebraic Combinatorics on Words, Cambridge Universi...
Francine Blanchet-Sadri, Robert Mercas, Sean Simmo...
IANDC
2007
66views more  IANDC 2007»
13 years 8 months ago
Exponential lower bounds for the number of words of uniform length avoiding a pattern
We study words on a finite alphabet avoiding a finite collection of patterns. Given a pattern p in which every letter that occurs in p occurs at least twice, we show that the nu...
Jason P. Bell, Teow Lim Goh