Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
428067 | Information Processing Letters | 2008 | 6 Pages |
Abstract
In this note, we prove that a planar graph is 3-choosable if it contains neither cycles of length 4, 7, and 9 nor 6-cycle with one chord. In particular, every planar graph without cycles of length 4, 6, 7, or 9 is 3-choosable. Together with other known parallel results, this completes a theorem on 3-choosability of planar graphs: planar graphs without cycles of length 4, i, j, 9 with i
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