Bigraphical arrangements

We define the bigraphical arrangement of a graph and show that the Pak-Stanley labels of its regions are the parking functions of a closely related graph, thus proving conjectures of Duval, Klivans, and Martin and of Hopkins and Perkinson. A consequence is a new proof of a bijection between labeled...

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Bibliographic Details
Main Authors: Sam Hopkins, David Perkinson
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2014-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2398/pdf