Conjectured bound for the distribution of eigenvalues of a graph

Pawel Wocjan, Clive Elphick

Let $(n^{+},n^0,n^{-})$ denote the inertia of a graph $G$ with $n$ vertices. Nordhaus-Gaddum bounds are known for inertia, except for an upper bound for $n^{-}$. We conjecture that for…