Graph Eigenvalues and Projection Constants

Varun Sivashankar, Quanyu Tang, Tanay Wakhare

For an integer $k\ge 2$, let $\hat{I}{»}_k(G)$ denote the $k$th largest adjacency eigenvalue of a graph $G$. For every graph $G$ on $n$ vertices and every $2\le k\le n$, we prove \[ λ_…