# Minor Invertible Products Assignment and Sparse Hyperdeterminants

@inproceedings{Angelelli2022MinorIP, title={Minor Invertible Products Assignment and Sparse Hyperdeterminants}, author={Mario Angelelli}, year={2022} }

We consider an extension of Minor Assignment Problems derived from the determinantal expansion of matrix products, under the condition that the terms of the expansion are units of C ( t ). This restriction places constraints on the sparsity and the factorization properties of a family of hyperdeterminants derived from Grassmann-Plücker relations. We ﬁnd minimal conditions guaranteeing that allowed assignments returning a determinantal expansion are the trivial ones, i.e. those induced by the…

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