On linear coloring of planar graphs with small girth
β Scribed by Dong, Wei; Lin, Wensong
- Book ID
- 122121534
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 461 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The odd-girth of a graph is the length of a shortest odd circuit. A conjecture by Pavol Hell about circular coloring is solved in this article by showing that there is a function f ( ) for each : 0 < < 1 such that, if the odd-girth of a planar graph G is at least f ( ), then G is (2 + )-colorable. N
We prove that every planar graph of girth at least 5 is 3-choosable. It is even possible to precolor any 5-cycle in the graph. This extension implies GrΓΆtzsch's theorem that every planar graph of girth at least 4 is 3-colorable. If 1995 Academic Press, Inc.