Turán Numbers for Disjoint Copies of Graphs
✍ Scribed by Izolda Gorgol
- Publisher
- Springer Japan
- Year
- 2011
- Tongue
- English
- Weight
- 119 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A system of r-element subsets (blocks) of an n-element set X n is called a Tura n (n, k, r)-system if every k-element subset of X n contains at least one of the blocks. The Tura n number T(n, k, r) is the minimum size of such a system. We prove upper estimates: + as n Ä , r Ä , k=(#+o(1))r, #>1.
## Abstract A multigraph is (__k__,__r__)‐dense if every __k__‐set spans at most __r__ edges. What is the maximum number of edges ex~ℕ~(__n__,__k__,__r__) in a (__k__,__r__)‐dense multigraph on __n__ vertices? We determine the maximum possible weight of such graphs for almost all __k__ and __r__ (e
An algebraic construction implies lim n Ä ex(n, K 2, t+1 ) n &3Â2 =-tÂ2. 1996 Academic Press, Inc. 1 2 -t n 3Â2 +(nÂ4). To prove the Theorem we obtain a matching lower bound from a construction closely related to the examples from [ERS] and [B], and inspired by an example of Hylte n Cavallius [H] an