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Acyclic 4-choosability of planar graphs without adjacent short cycles

✍ Scribed by Oleg V. Borodin; Anna O. Ivanova

Book ID
119227543
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
441 KB
Volume
312
Category
Article
ISSN
0012-365X

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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

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