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Linear 2-Arboricity of Planar Graphs with Neither 3-Cycles Nor Adjacent 4-Cycles

✍ Scribed by Hong-Xia Niu, Jian-Sheng Cai


Book ID
120788674
Publisher
Springer Japan
Year
2011
Tongue
English
Weight
141 KB
Volume
29
Category
Article
ISSN
0911-0119

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Planar graphs without 4-cycles adjacent
✍ Oleg V. Borodin; Anna O. Ivanova πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 80 KB

## 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