CIRCULAR CHROMATIC NUMBER AND MYCIELSKI GRAPHS
โ Scribed by Hongmei Liu
- Book ID
- 108422279
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 433 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0252-9602
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract This paper gives a sufficient condition for a graph __G__ to have its circular chromatic number equal to its chromatic number. By using this result, we prove that for any integer __t__โโฅโ1, there exists an integer __n__ such that for all $k \ge n, \chi \_c (M^t(K\_k))\,= \chi(M^t(K\_k))
The most familiar construction of graphs whose clique number is much smaller than their chromatic number is due to Mycielski, who constructed a sequence G, of triangle-free graphs with ,y(G,) = n. In this article, w e calculate the fractional chromatic number of G, and show that this sequence of num
This paper studies circular chromatic numbers and fractional chromatic numbers of distance graphs G(Z , D) for various distance sets D. In particular, we determine these numbers for those D sets of size two, for some special D sets of size three, for