## Abstract It is well known that every planar graph __G__ is 2βcolorable in such a way that no 3βcycle of __G__ is monochromatic. In this paper, we prove that __G__ has a 2βcoloring such that no cycle of length 3 or 4 is monochromatic. The complete graph __K__~5~ does not admit such a coloring. On
On 3-colorable planar graphs without short cycles
β Scribed by Min Chen; Weifan Wang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 198 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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