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On 3-choosability of planar graphs without certain cycles

✍ Scribed by Haihui Zhang; Zhiren Sun


Book ID
108154550
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
131 KB
Volume
107
Category
Article
ISSN
0020-0190

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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