We show the following. (1) For each integer n> 12, there exists a uniquely 3-colorable graph with n vertices and without any triangles. (2) There exist infinitely many uniquely 3-colorable regular graphs without any triangles. It follows that there exist infinitely many uniquely k-colorable regular
Uniquely Edge-3-Colorable Graphs and Snarks
β Scribed by John L. Goldwasser; Cun-Quan Zhang
- Publisher
- Springer Japan
- Year
- 2000
- Tongue
- English
- Weight
- 164 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0911-0119
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