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Equitable list coloring of planar graphs without 4- and 6-cycles |
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| Authors: | Qiong Li Yuehua Bu |
| Affiliation: | a Department of Mathematics, Shanghai University, Shanghai, 200444, China b Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, China |
| Abstract: | A graph G is equitably k-choosable if for any k-uniform list assignment L, there exists an L-colorable of G such that each color appears on at most  vertices. Kostochka, Pelsmajer and West introduced this notion and conjectured that G is equitably k-choosable for k>Δ(G). We prove this for planar graphs with Δ(G)≥6 and no 4- or 6-cycles. |
| Keywords: | Equitable list coloring Cycle Planar graph |
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