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Planar graphs without adjacent cycles of length at most seven are 3-colorable

✍ Scribed by Oleg V. Borodin; Mickael Montassier; André Raspaud


Book ID
108114183
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
613 KB
Volume
310
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES


Planar graphs without 4-cycles adjacent
✍ Oleg V. Borodin; Anna O. Ivanova 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 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