11 citations · 12 across the 17 of their papers we have counts for
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Enumerative aspects of Caylerian polynomials
Giulio Cerbai, Anders Claesson
Eulerian polynomials record the distribution of descents over permutations. Caylerian polynomials likewise record the distribution of descents over Cayley permutations, where a Cay…
Self-modified difference ascent sequences
Giulio Cerbai, Anders Claesson, Bruce E. Sagan
Ascent sequences play a key role in the combinatorics of Fishburn structures. Difference ascent sequences are a natural generalization obtained by replacing ascents with -ascent…
Pattern-avoiding Cayley permutations via combinatorial species
Anders Claesson, Giulio Cerbai, Dana C. Ernst +1
A Cayley permutation is a word of positive integers such that if a letter appears in this word, then all positive integers smaller than that letter also appear. We initiate a syste…
Modified difference ascent sequences and Fishburn structures
Giulio Cerbai, Anders Claesson, Bruce Sagan
Ascent sequences and their modified version play a central role in the bijective framework relating several combinatorial structures counted by the Fishburn numbers. Ascent sequenc…
Pattern-avoiding modified ascent sequences
Giulio Cerbai
We initiate an in-depth study of pattern avoidance on modified ascent sequences. Our main technique consists in using Stanley's standardization to obtain a transport theorem betwee…