The Alon-Tarsi Number of Squares of Subcubic Planar Graphs without Cycles of Lengths $4$ to $8$

Seog-Jin Kim, Xiaopan Lian, Rong Luo

The Alon--Tarsi number $AT(G)$ of a graph $G$, defined via the graph polynomial, is a strengthening of the list chromatic number ${\chi }_{\ell }(G)$. We study the Alon--Tarsi number of s…