## This paper is complementary to Kubale (1989). We consider herein a problem of interval coloring the edges of a graph under the restriction that certain colors cannot be used for some edges. We give lower and upper bounds on the minimum number of colors required for such a coloring. Since the ge
On-Line Edge-Coloring with a Fixed Number of Colors
โ Scribed by Lene Monrad Favrholdt and Morten Nyhave Nielsen
- Book ID
- 120136569
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 134 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0178-4617
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let F(n, k) denote the maximum number of t w o edge colorings of a graph on n vertices that admit no monochromatic Kk. la complete graph on k vertices). The following results are proved: f ( n , 3) = 2Ln2/41 for all n 2 6. f ( n , k) = 2((k~2)/(2k-2)+o( 1))n'. In particular, the first result solves
For a given snark G and a given edge e of G, let (G; e) denote the nonnegative integer such that for a cubic graph conformal to G ร feg, the number of Tait colorings with three given colors is 18 ร (G; e). If two snarks G 1 and G 2 are combined in certain well-known simple ways to form a snark G, th