2 problems

Let $G$ be a graph and let $x$ be a vertex that is not a cut vertex of $G$. Write ${\rm gp}_{\rm o}(G)$ for the outer general position number of $G$ and $\deg_G(x)$ for the degree…

Let $k$ and $m$ be positive integers. A graph $G$ is $k$-connected when $ba(G)\geq k$, where $ba(G)$ is the minimum size of a vertex set whose deletion disconnects $G$ or leaves on…