A method to construct all the paving matroids over a finite set
We give a characterization of paving matroids through their sets of hyperplanes and an algorithm to construct all of them. We also give a simple proof of Rota’s basis conjecture for the case of sparse-paving matroids and for the case of paving matroids of rank rr on a set of cardinality n≤2rn≤2r, an...
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Main Author: | Mederos, Boris |
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Other Authors: | Takane, Martha, Tapia Sanchez, Gustavo, Perez-Cabrera, Ivan, Zavala, Bertha |
Format: | Artículo |
Language: | English |
Published: |
2022
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Subjects: | |
Online Access: | https://doi.org/10.1007/s40590-022-00440-9 https://link.springer.com/article/10.1007/s40590-022-00440-9 |
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