Parking Cars of Different Sizes

DOI10.4169/amer.math.monthly.123.10.1045zbMath1391.05028arXiv1708.09077OpenAlexW2571233921MaRDI QIDQ4576580

Richard Ehrenborg, Alex Happ

Publication date: 12 July 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09077

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19)

Related Items

Parking Functions: Choose Your Own Adventure ⋮ On Increasing and Invariant Parking Sequences ⋮ Enumerating parking completions using join and split ⋮ Parking functions on directed graphs and some directed trees ⋮ Parking cars after a trailer ⋮ Vector parking functions with periodic boundaries and rational parking functions ⋮ Prime parking functions on rooted trees ⋮ Cycle structure of random parking functions

Cites Work

• Unnamed Item
• Generalized parking functions, descent numbers, and chain polytopes of ribbon posets
• Parking functions, valet functions and priority queues
• Parking functions and noncrossing partitions
• Exact formulas for moments of sums of classical parking functions
• Expected sums of general parking functions
• Gončarov polynomials and parking functions
• Mappings of acyclic and parking functions
• Characteristic polynomials of subspace arrangements and finite fields
• Ballots and trees
• An Occupancy Discipline and Applications
• Generalized parking functions, tree inversions, and multicolored graphs

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