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 (...
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...
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...