Nut graphs are singular graphs of nullity one with full corresponding eigenvector. Recently, the existence problem of regular nut graphs was successfully addressed. In this talk, we present a generalisation of nut graphs to signed nut graphs and give some preliminary results of their existence. In particular, Fowler construction, switching equivalence and connection to double covers will be presented.

This is work in progress with Patrick W.  Fowler, Irene Sciricha and Nino Bašić.

Link for the Conference: https://us02web.zoom.us/j/87925579576