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The Partial List Colouring Conjecture is False

Noel, Jonathan A.
arXiv (All) · Papers
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combinatorics
We exhibit a graph $G$ with $14$ vertices and list chromatic number equal to $3$ such that there is a $2$-list assignment $L$ of $G$ such that at most $9$ vertices of $G$ can be properly coloured from $L$. This disproves the Partial List Colouring Conjecture of Albertson, Grossman and Haas. This cou
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