A Note on Partial List Colorings

Moharram Iradmusa

Let $G$ be a simple graph with $n$ vertices and list chromatic number ${\chi }_{\ell }(G)={\chi }_{\ell }$. Suppose that $0\le t\le {\chi }_{\ell }$ and each vertex of $G$ is assigned a list of $t$ colors.…