## Abstract It is well known that every planar graph __G__ is 2‐colorable in such a way that no 3‐cycle of __G__ is monochromatic. In this paper, we prove that __G__ has a 2‐coloring such that no cycle of length 3 or 4 is monochromatic. The complete graph __K__~5~ does not admit such a coloring. On
Colored graphs without colorful cycles
✍ Scribed by Richard N. Ball; Aleš Pultr; Petr Vojtěchovský
- Book ID
- 106167654
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 281 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0209-9683
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📜 SIMILAR VOLUMES
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