The size of uniquely colorable graphs
β Scribed by Xu Shaoji
- Book ID
- 107884297
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 79 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
In [2], for each non-negative integer k, we constructed a connected graph with (24)2k vertices which is uniquely 3-colorable, regular with degree k+5, and triangle-free. Here, for each positive integer n and each integer r > 5, we construct a connected graph with (26)n .2'-' vertices which is unique