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Parametrizations of k-nonnegative Matrices: Cluster Algebras and k-nonnegativity Tests

A diagram of one of the extended cluster algebras that appears when analyzing k-nonnegative matrices.
Brosowsky, Anna, et al. “Parametrizations of k-Nonnegative Matrices: Cluster Algebras and k-Positivity Tests.” Journal of Combinatorial Theory, Series A, vol. 174, Aug. 2020, p. 105217., doi:10.1016/j.jcta.2020.105217.

Written in collaboration with Anna Brosowsky and Sunita Chepuri. This research was carried out as part of the 2017 REU program at the School of Mathematics at University of Minnesota, Twin Cities. Special thanks also to Pavlo Pylyavskyy and Victor Reiner, who served as advisors to the program.

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