2 problems

Let $G$ be a B-graph, meaning that $\sigma_v(G)=\alpha(G)$, and suppose that $G$ has no isolated vertices. Let $\omega_e(G)$ be the greatest natural number such that every edge of $G$…

Let $G$ be a graph on $n$ vertices, and let $\operatorname{lcc}(G)$ denote its local clique cover number. Let $\overline{G}$ be the complement of $G$. Javadi–Maleki–Omoomi conjectu…