Deranged unit-interval parking functions are the preimage of deranged ordered set partitions; their count equals the deranged Bell numbers, with new leader/lucky-car tests, fixed-block Poisson law, and related refinements.
”Partial Deranged Bell Numbers and Their Combinatorial Properties.” arXiv preprint arXiv:2507.21643 (2025)
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
years
2026 2roles
background 1polarities
background 1representative citing papers
A generalization of deranged Bell numbers to barred arrangements fails at λ≥2: the defining generating function and the main closed-form identity give different values.
citing papers explorer
-
On Deranged Unit-Interval Parking Functions and the Deranged Bell Numbers
Deranged unit-interval parking functions are the preimage of deranged ordered set partitions; their count equals the deranged Bell numbers, with new leader/lucky-car tests, fixed-block Poisson law, and related refinements.
-
Combinatorics of higher order degenerate $r$-DERANGED Bell Numbers
A generalization of deranged Bell numbers to barred arrangements fails at λ≥2: the defining generating function and the main closed-form identity give different values.