Minimum Number of Palettes in Edge Colorings
✍ Scribed by Mirko Horňák, Rafał Kalinowski, Mariusz Meszka, Mariusz Woźniak
- Book ID
- 120788836
- Publisher
- Springer Japan
- Year
- 2013
- Tongue
- English
- Weight
- 319 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
📜 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
In this paper we present a short algebraic proof for a generalization of a formula of R. Penrose, Some applications of negative dimensional tensors, in: Combinatorial Mathematics and its Applications Welsh (ed.), Academic Press, 1971, pp. 221-244 on the number of 3-edge colorings of a plane cubic gr
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 À feg, the number of Tait colorings with three given colors is 18 Á (G; e). If two snarks G 1 and G 2 are combined in certain well-known simple ways to form a snark G, th