V. Kozhevnikov

Two-point concentration for graph classes admitting sparse vertex deletion

For fixed $p\in(0,1)$, we prove that the maximum number of vertices in an induced subgraph of $G(n,p)$ from a given class is concentrated on two consecutive integers, unifying and extending several earlier results. We require that the class contain arbitrarily large graphs and that every sufficiently large $k$-vertex m...