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A note on edge-choosability of planar graphs without intersecting 4-cycles

โœ Scribed by Qiaoling Ma; Jihui Wang; Jiansheng Cai; Sumei Zhang


Book ID
107620045
Publisher
Springer-Verlag
Year
2010
Tongue
English
Weight
294 KB
Volume
36
Category
Article
ISSN
1598-5865

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## It is proved that a planar graph G without five cycles is three degenerate, hence, four choosable, and it is also edge-(A( G) + l)-h

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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