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Combinatorics of Positroids

Recently Postnikov gave a combinatorial description of the cells in a totally-nonnegative Grassmannian. These cells correspond to a special class of matroids called positroids. There are many interesting combinatorial objects associated to a positroid. We introduce some recent results, including the...

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Autor principal: Suho Oh
Formato: Artigo
Idioma:Inglês
Publicado em: Discrete Mathematics & Theoretical Computer Science 2009-01-01
coleção:Discrete Mathematics & Theoretical Computer Science
Assuntos:
positroids
total positivity
grassmannian
matroids
$\rfloor$-diagrams
decorated permutations
weakly separated.
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Acesso em linha:https://dmtcs.episciences.org/2697/pdf
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