2 problems

Let $N$ be the size of a GUE matrix, let its permanental roots lie in the complex plane with coordinate $z=x+iy$, and consider their normalized asymptotic limiting density as…

Let $C_n$ be the cycle graph on $n$ vertices, let $K_1$ be the one-vertex graph, and let $C_n\odot K_1$ denote their corona product. A graph is determined by its (signless) Laplaci…