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arXiv · 1112.5421

Orientations, semiorders, arrangements, and parking functions

Sam Hopkins·David Perkinson
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Abstract

It is known that the Pak-Stanley labeling of the Shi hyperplane arrangement provides a bijection between the regions of the arrangement and parking functions. For any graph G, we define the G-semiorder arrangement and show that the Pak-Stanley labeling of its regions produces all G-parking functions.

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Sam Hopkins, David Perkinson. 2012-09-02. Orientations, semiorders, arrangements, and parking functions. https://doi.org/10.37236/2684

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