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A note on 3-choosability of planar graphs without certain cycles

✍ Scribed by Li Zhang; Baoyindureng Wu

Book ID: 108113554
Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 153 KB
Volume: 297
Category: Article
ISSN: 0012-365X
DOI: 10.1016/j.disc.2005.05.001

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The conjecture on acyclic 5-choosability of planar graphs [Borodin et al., 2002] as yet has been verified only for several restricted classes of graphs. None of these classes allows 4-cycles. We prove that a planar graph is acyclically 5-choosable if it does not contain an i-cycle adjacent to a j-cy