## dedicated to the memory of rodica simion Let G be an r-uniform hypergraph. The multicolor Ramsey number r k G is the minimum n such that every k-coloring of the edges of the complete r-uniform hypergraph K r n yields a monochromatic copy of G. Improving slightly upon results from M. Axenovich,
Coloring number and on-line Ramsey theory for graphs and hypergraphs
β Scribed by H. A. Kierstead; Goran Konjevod
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 479 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a positive integer n and graph E, fs(n) is the least integer m such that any graph of order n and minimal degree m has a copy of B. It will be show that if B is a bipartite graph with parts of order k and 1 (k G I), then there exists a positive constant c, such that for any tree T,, of order II
## Abstract The notion of a split coloring of a complete graph was introduced by ErdΕs and GyΓ‘rfΓ‘s [7] as a generalization of split graphs. In this work, we offer an alternate interpretation by comparing such a coloring to the classical Ramsey coloring problem via a twoβround game played against an
The Ramsey numbers M,,, n,P,, ..., n,P,), p > 2, are calculated. ## 1. Introduction One class of generalized Ramsey numbers that are known exactly are those for the graphs nP2 which consist of n disjoint paths of length 2; E. J. Cockayne and the author proved in 111 that d r(nlp2, ..., n d P 2 ) =
This paper establishes that the local k-Ramsey number R(K m , k -loc) is identical with the mean k-Ramsey number R(K m , k -mean). This answers part of a question raised by Caro and Tuza.