On the dimension of the strongly robust complex for configurations in general position
Abstract
Strongly robust toric ideals are the toric ideals for which the set of indispensable binomials is the Graver basis. The strongly robust simplicial complex T of a simple toric ideal IT determines the strongly robust property for all toric ideals that have IT as their bouquet ideal. We prove that dim T<rank(T) for configurations in general position, partially answering a question posed by Sullivant.
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