A new vector-relation framework on bipartite graphs unifies several discrete integrable systems and proves unique reconstruction from boundary data for plabic graphs.
Variations on a theme of Kasteleyn, with application to the totally nonnegative Grassmannian
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abstract
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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math.CO 1years
2019 1verdicts
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Vector-relation configurations and plabic graphs
A new vector-relation framework on bipartite graphs unifies several discrete integrable systems and proves unique reconstruction from boundary data for plabic graphs.