4 problems

Let $N$ be the number of dichotomic measurements per party in the chained Bell scenario, and let $Ci_{4N}(1,2N)$ be the graph of exclusivity for the events in the chained Bell ineq…

Let $G$ be a graph, and let $\Theta_*(G)$ be its entanglement-assisted Shannon capacity. Let $\vartheta(G)$ be the Lovász theta function. Entanglement-assisted capacity conjecture.…

Let $G$ be a finite simple graph. Its Shannon capacity is … where $\alpha(G)$ is the independence number and $G^{\boxtimes n}$ is the $n$-th strong graph product power. Lovász's co…

Let $q$ be a prime power, let $\Gamma=\operatorname{GL}(n,\mathbb{F}_q)$, and let … Here $\alpha(G)$ denotes the independence number and $\vartheta(G)$ the Lovász theta-number. The…