4 problems

Theo-Conjecture.

Let $G$ be a claw-free graph, meaning that $G$ contains no induced copy of $K_{1,3}$. Let $\operatorname{dmg}(G)$ and $\operatorname{zdmg}(G)$ denote its ordinary and zombie damage…

Let $G$ be a chordal graph, and let $\operatorname{dmg}(G)$ and $\operatorname{zdmg}(G)$ denote its ordinary and zombie damage numbers. Let $\gamma_c(G)$ be its connected dominatio…

Let $G$) be a connected cograph with no universal vertex. For the co-components $H_{(1)}$ and $H_{(2)}$ defined as in Proposition, Theo-Conjecture. … The cograph condition is essen…