Graph Eigenvalues and Projection Constants

Tanay Wakhare

Let $\hat{I}{»}_1(G)\ge \hat{I}{»}_2(G)\ge \cdots \ge \hat{I}{»}_n(G)$ denote the adjacency eigenvalues of a graph $G$ of order $n$. We prove that for every $k\ge 2$ and every graph $G$ on $n\ge k$ vert…