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math.CO2023
Caylerian polynomials
Giulio Cerbai, Anders Claesson
The Eulerian polynomials enumerate permutations according to their number of descents. We initiate the study of descent polynomials over Cayley permutations, which we call Cayleria…
math.CO2023
On a conjecture on pattern-avoiding machines
Christopher Bao, Giulio Cerbai, Yunseo Choi +2
Let be West's stack-sorting map, and let be the generalized stack-sorting map, where instead of being required to increase, the stack avoids subpermutations that are or…
math.CO2023
Modified ascent sequences and Bell numbers
Giulio Cerbai
In 2011, Duncan and Steingrímsson conjectured that modified ascent sequences avoiding any of the patterns 212, 1212, 2132, 2213, 2231 and 2321 are counted by the Bell numbers. Furt…