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Creators/Authors contains: "Chavez, Anastasia"

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  1. ; ; ; ; ; ; (, Séminaire lotharingien de combinatoire)
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  2. ; ; ; ; ; ; (, Séminaire lotharingien de combinatoire)
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  3. ; (, The American Mathematical Monthly)
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  4. ; ; (, The Electronic Journal of Combinatorics)
    Two matroids $$M$$ and $$N$$ are said to be concordant if there is a strong map from $$N$$ to $$M$$. This also can be stated by saying that each circuit of $$N$$ is a union of circuits of $$M$$. In this paper, we consider a class of matroids called positroids, introduced by Postnikov, and utilize their combinatorics to determine concordance among some of them. More precisely, given a uniform positroid, we give a purely combinatorial characterization of a family of positroids that is concordant with it. We do this by means of their associated decorated permutations. As a byproduct of our work, we describe completely the collection of circuits of this particular subset of positroids. 
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  5. ; (, Involve, a Journal of Mathematics)
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