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COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 years 7 months ago
Matchings Avoiding Partial Patterns and Lattice Paths
In this paper, we consider matchings avoiding partial patterns 1123 and 1132. We give a bijection between 1123-avoiding matchings with n edges and nonnegative lattice paths from (...
Vít Jelínek, Nelson Y. Li, Toufik Ma...
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
13 years 7 months ago
Matchings Avoiding Partial Patterns
We show that matchings avoiding certain partial patterns are counted by the 3-Catalan numbers. We give a characterization of 12312-avoiding matchings in terms of restrictions on t...
William Y. C. Chen, Toufik Mansour, Sherry H. F. Y...
LATA
2010
Springer
13 years 10 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...
ISAAC
2009
Springer
245views Algorithms» more  ISAAC 2009»
14 years 1 months ago
Pattern Matching for 321-Avoiding Permutations
Sylvain Guillemot, Stéphane Vialette