Alon-Jaeger-Tarsi conjecture
The Alon-Jaeger-Tarsi conjecture states the following: For any (finite) field F with at least four elements and any non-singular matrix M over F there is a vector x such that both x and Mx have only non-zero entries. The problem is easy to state – one can understand it after attending any Linear Algebra I … Continue reading "Alon-Jaeger-Tarsi conjecture"