36 citations · 89 across the 20 of their papers we have counts for
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math.CO2012★ 5 cited
Pattern avoidance in matchings and partitions
Jonathan Bloom, Sergi Elizalde
Extending the notion of pattern avoidance in permutations, we study matchings and set partitions whose arc diagram representation avoids a given configuration of three arcs. These…
math.CO2012★ 21 cited
Clusters, generating functions and asymptotics for consecutive patterns in permutations
Sergi Elizalde, Marc Noy
We use the cluster method to enumerate permutations avoiding consecutive patterns. We reprove and generalize in a unified way several known results and obtain new ones, including s…