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ITA
2007
14 years 9 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»
14 years 10 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»
14 years 9 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
15 years 1 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»
14 years 9 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