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Adaptable choosability of planar graphs with sparse short cycles

โœ Scribed by Albert Guan; Xuding Zhu


Book ID
108114154
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
370 KB
Volume
309
Category
Article
ISSN
0012-365X

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Acyclic 5-choosability of planar graphs
โœ O. V. Borodin; A. O. Ivanova ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 93 KB ๐Ÿ‘ 1 views

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