Seog-Jin Kim (Konkuk University, Korea)

**The Alon-Tarsi number of K_5-minor-free graphs**

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Abstract: In this talk, we show the following three theorems. Let G be a K_5-minor-free graph. Then Alon-Tarsi number of G is at most 5, there exists a matching M of G such that the Alon-Tarsi number of G-M is at most 4, and there exists a forest F such that the Alon-Tarsi number of G-E(F) is at most 3. This is joint with Toshiki Abe and Kenta Ozeki.