Geodesic
Orientations, semiorders, arrangements, and parking functions
Sam Hopkins1 ; David Perkinson1
1Reed College
The electronic journal of combinatorics, Tome 19 (2012) no. 4
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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.
DOI : 10.37236/2684
Classification : 05C25, 52C35
Mots-clés : hyperplane arrangements, semiorders, parking functions, abelian sandpile model

Sam Hopkins  1   ; David Perkinson  1

1 Reed College 
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Sam Hopkins; David Perkinson. Orientations, semiorders, arrangements, and parking functions. The electronic journal of combinatorics, Tome 19 (2012) no. 4. doi: 10.37236/2684

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