Unavoidable induced subgraphs forced by graphs with many vertices of prescribed properties
Authors
Jin Sun
Xinmin Hou
Abstract
Given a function $p : V(G)\to \mathbb N$ and an integer $k\ge 0$, define $p_k(G)$ as the number of vertices with $p(v)\ge k$. We say that $p_k(G)$ is bounded for all $\HH$-free graphs if there exists a constant $c=c(\HH)$ such that $p_k(G)
