Arbitrary Spectral Edge of Regular Graphs

Dingding Dong, Theo McKenzie

We prove that for each $d\ge 3$ and $k\ge 2$, the set of limit points of the first $k$ eigenvalues of sequences of $d$-regular graphs is \[ \{(μ_1,\dots,μ_k): d=μ_1\geq \dots\…