Orientations, semiorders, arrangements, and parking functions

Details Orientations, semiorders, arrangements, and parking functions Orientations, semiorders, arrangements, and parking functions

2011-12-22

arxiv.org/abs/1112.5421v2

Mathematics

Combinatorics

24 pages, 6 figures. v2: corrected typos

Scientific paper

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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