3 papers
math.CO2026
On Deranged Unit-Interval Parking Functions and the Deranged Bell Numbers
Yahia Djemmada
Unit-interval parking functions are counted by the Fubini numbers and are in explicit bijection with ordered set partitions. We transport the deranged ordered set partitions of Bel…
math.CO2025
Partial Deranged Bell Numbers and Their Combinatorial Properties
Yahia Djemmada, Levent Kargın, Mümün Can
We introduce a novel generalization of deranged Bell numbers by defining the partial deranged Bell numbers , which count the number of set partitions of …
math.CO2024
The Fibonacci-Fubini and Lucas-Fubini numbers
Yahia Djemmada, Abdelghani Mehdaoui, László Németh +1
Based on the combinatorial interpretation of the ordered Bell numbers, which count all the ordered partitions of the set , we introduce the Fibonacci partition…