2 problems

Let $G$ be a $k$-regular and edge-regular graph with parameter $\lambda$, and let $\theta,\theta'$ be two distinct eigenvalues of $G$, different from $k$. Goldberg's conjecture. Th…

Let $\Gamma$ be a connected, non-complete edge-regular graph, and let $\overline{\Gamma}$ be its complement. Consider the clique adjacency bound for the clique number…