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The 2-surviving rate of planar graphs without 4-cycles

✍ Scribed by Wang, Weifan; Kong, Jiangxu; Zhang, Lianzhu


Book ID
119375365
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
289 KB
Volume
457
Category
Article
ISSN
0304-3975

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## Abstract It is known that not all planar graphs are 4‐choosable; neither all of them are vertex 2‐arborable. However, planar graphs without 4‐cycles and even those without 4‐cycles adjacent to 3‐cycles are known to be 4‐choosable. We extend this last result in terms of covering the vertices of a