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math.CO2023★ 1 cited
Permutations avoiding bipartite partially ordered patterns have a regular insertion encoding
Christian Bean, Émile Nadeau, Jay Pantone +1
We prove that any class of permutations defined by avoiding a partially ordered pattern (POP) with height at most two has a regular insertion encoding and thus has a rational gener…
math.CO2023
Turning cycle restrictions into mesh patterns via Foata's fundamental transformation
Anders Claesson, Henning Ulfarsson
An adjacent -cycle is a natural generalization of an adjacent transposition. We show that the number of adjacent -cycles in a permutation maps to the sum of occurrences of tw…