Positroids, non-crossing partitions, and positively oriented matroids
We investigate the role that non-crossing partitions play in the study of positroids, a class of matroids introduced by Postnikov. We prove that every positroid can be constructed uniquely by choosing a non-crossing partition on the ground set, and then freely placing the structure of a connected po...
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/2431/pdf |