#### Flexibility of triangle-free planar graphs

##### Zdeněk Dvořák, Tomáš Masařík, Jan Musílek, Ondřej Pangrác

Let G be a planar graph with a list assignment L. Suppose a preferred color is given for some of the vertices. We prove that if G is triangle-free and all lists have size at least four, then there exists an L-coloring respecting at least a constant fraction of the preferences.

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