Connecting \(k\)-Naples parking functions and obstructed parking functions via involutions

DOI10.37236/10630zbMath1493.90043arXiv2012.02623OpenAlexW3111686460MaRDI QIDQ2153403

Roger Tian

Publication date: 4 July 2022

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.02623

zbMATH Keywords

contained \(k\)-Naples parking functions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Combinatorial inequalities (05A20) Traffic problems in operations research (90B20)

Cites Work

• Unnamed Item
• A refinement of Cayley's formula for trees
• Counting defective parking functions
• Parking functions on directed graphs and some directed trees
• Mappings of acyclic and parking functions
• A generalization of parking functions allowing backward movement
• Counting k-Naples parking functions through permutations and the k-Naples area statistic
• Parking cars after a trailer
• An Occupancy Discipline and Applications

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