Scholars@Duke publication: The Convex Hull of Parking Functions of Length n

The Convex Hull of Parking Functions of Length n

Journal articles - Journal Article

Amanbayeva, A; Wang, D

Published in: Enumerative Combinatorics and Applications

January 1, 2022

Let Pn be the convex hull in Rⁿ of all parking functions of length n. Stanley found the number of vertices and the number of facets of Pn. Building upon these results, we determine the number of faces of arbitrary dimension, the volume, and the number of integer points of Pn.

Duke Scholars

Author Danielle Y Wang Mathematics

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Published In

Enumerative Combinatorics and Applications

DOI

10.54550/ECA2022V2S2R10

EISSN

2710-2335

Publication Date

January 1, 2022

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Amanbayeva, A., & Wang, D. (2022). The Convex Hull of Parking Functions of Length n. Enumerative Combinatorics and Applications, 2(2). https://doi.org/10.54550/ECA2022V2S2R10

Amanbayeva, A., and D. Wang. “The Convex Hull of Parking Functions of Length n.” Enumerative Combinatorics and Applications 2, no. 2 (January 1, 2022). https://doi.org/10.54550/ECA2022V2S2R10.

Amanbayeva A, Wang D. The Convex Hull of Parking Functions of Length n. Enumerative Combinatorics and Applications. 2022 Jan 1;2(2).

Amanbayeva, A., and D. Wang. “The Convex Hull of Parking Functions of Length n.” Enumerative Combinatorics and Applications, vol. 2, no. 2, Jan. 2022. Scopus, doi:10.54550/ECA2022V2S2R10.

Amanbayeva A, Wang D. The Convex Hull of Parking Functions of Length n. Enumerative Combinatorics and Applications. 2022 Jan 1;2(2).

Published In

Enumerative Combinatorics and Applications

DOI

10.54550/ECA2022V2S2R10

EISSN

2710-2335

Publication Date

January 1, 2022