2 papers
math.CO2025
Odd-indexed Fibonacci numbers via pattern-avoiding permutations
Juan B. Gil, Felix H. Xu, William Y. Zhu
In this paper, we consider several combinatorial problems whose enumeration leads to the odd-indexed Fibonacci numbers, including certain types of Dyck paths, block fountains, dire…
math.CO2024
Bijections between colored compositions, Dyck paths, and polygon partitions
Juan B. Gil, Emma G. Hoover, Jessica A. Shearer
In this paper, we give part-preserving bijections between three fundamental families of objects that serve as natural framework for many problems in enumerative combinatorics. Spec…