On the Ramsey-Turán numbers of graphs and hypergraphs
✍ Scribed by József Balogh, John Lenz
- Book ID
- 120953153
- Publisher
- The Hebrew University Magnes Press
- Year
- 2012
- Tongue
- English
- Weight
- 488 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract For every __r__‐graph __G__ let π(__G__) be the minimal real number ϵ such that for every ϵ < 0 and __n__ ϵ __n__~0~(λ, __G__) every __R__‐graph __H__ with __n__ vertices and more than (π + ϵ)(nr) edges contains a copy of __G__. The real number λ(__G__) is defined in the same way, addin
## Abstract For each __n__ and __k__, we examine bounds on the largest number __m__ so that for any __k__‐coloring of the edges of __K~n~__ there exists a copy of __K~m~__ whose edges receive at most __k−__1 colors. We show that for $k \ge \sqrt{n}\;+\,\Omega(n^{1/3})$, the largest value of __m__ i
Tuza, Z., Multipartite Turan problem for connected graphs and hypergraphs, Discrete Mathematics 112 (1993) 199-206. Giving a partial solution to a problem of Bialostocki and Dierker, we determine the maximum number of edges in a k-chromatic graph G with color classes of given cardinalities n,, , n,,