Exploring Parking Functions: Poset and Polytope Perspectives

This paper provides an exploration of parking functions, a classical combinatorial object. We present two viewpoints on their structure and properties through poset of noncrossing partitions and polytopes.

Authors

Publication Details

Journal
Columbia journal of undergraduate mathematics.
Published
2025-09-22
DOI
https://doi.org/10.52214/cjum.v2i2.14297
Primary Topic
Smart Parking Systems Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Exploring Parking Functions: Poset and Polytope Perspectives

Yan Liu
Columbia journal of undergraduate mathematics.
Smart Parking Systems Research
article

Exploring Parking Functions: Poset and Polytope Perspectives

Yan Liu
article en

Abstract

This paper provides an exploration of parking functions, a classical combinatorial object. We present two viewpoints on their structure and properties through poset of noncrossing partitions and polytopes.

Columbia journal of undergraduate mathematics.Vol. 2(2)
Openalex Percentile: Top 72%
Smart Parking Systems Research
DOIOpen Access PDFOpenAlex
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Exploring Parking Functions: Poset and Polytope Perspectives — Yan Liu · Columbia journal of undergraduate mathematics. (2025) | TGRS Research Map | TGRS