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Variations on a theme of Kasteleyn, with application to the totally nonnegative Grassmannian

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arxiv 1510.03501 v1 pith:RHBFJVKT submitted 2015-10-13 math.CO

classification math.CO
keywords kasteleynproofshortapplicationbecomeclassicaldeservesdirect
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We provide a short proof of a classical result of Kasteleyn, and prove several variants thereof. One of these results has become key in the parametrization of positroid varieties, and thus deserves the short direct proof which we provide.

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  1. Vector-relation configurations and plabic graphs

    math.CO 2019-08 conditional novelty 6.0 of 10

    A new vector-relation framework on bipartite graphs unifies several discrete integrable systems and proves unique reconstruction from boundary data for plabic graphs.

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