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