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Graduate Student Combinatorics Seminar Sponsored by DIMACS

The Alon-Jaeger-Tarsi Conjecture

Aditi Dudeja - Rutgers University

Location:  GSL
Date & time: Wednesday, 06 March 2019 at 12:15PM - 1:15PM

Abstract: The Alon-Jaeger-Tarsi conjecture states that for any field F with |F|geq 4 and any non-singular matrix A over F, there is a vector x such that both x and Ax have only non-zero entries. I will relate this conjecture to the perrank of a matrix A which is the size of the largest square submatrix of A with non-zero permanent. I will state and prove some properties of perrank, and use these to prove a small result on the Alon-Jaeger-Tarsi conjecture.

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