139 citations · 139 across the 8 of their papers we have counts for
4 papers · 2 filters
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…