On the neighborliness of dual flow polytopes of quivers
Patricio Gallardo,
Daniel Mckenzie
Abstract:In this note we investigate under which conditions the dual of the flow polytope (henceforth referred to as the 'dual flow polytope') of a quiver is k-neighborly, for generic weights near the canonical weight. We provide a lower bound on k, depending only on the edge connectivity of the underlying graph, for such weights. In the case where the canonical weight is in fact generic, we explicitly determine a vertex presentation of the dual flow polytope. Finally, we specialize our results to the case of complete,… Show more
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