Transversal and Paving Positroids
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909268563722240 |
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| author | Machacek, John Nasr, George D. |
| author_facet | Machacek, John Nasr, George D. |
| contents | In this paper, we study positroids and its overlap with two classes of matroids: transversal and paving matroids. We exhibit a new class of fundamental transversal matroids and classify the Le-diagram for rank two transversal positroids. We also establish a combinatorial description for paving positroids in terms of Le-diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02053 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transversal and Paving Positroids Machacek, John Nasr, George D. Combinatorics 05B35 In this paper, we study positroids and its overlap with two classes of matroids: transversal and paving matroids. We exhibit a new class of fundamental transversal matroids and classify the Le-diagram for rank two transversal positroids. We also establish a combinatorial description for paving positroids in terms of Le-diagrams. |
| title | Transversal and Paving Positroids |
| topic | Combinatorics 05B35 |
| url | https://arxiv.org/abs/2401.02053 |