On Ramsey numbers for special complete distance graphs
β Scribed by A. M. Raigorodskii
- Book ID
- 110149214
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2007
- Tongue
- English
- Weight
- 543 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A new upper bound is given for the cycle-complete graph Ramsey number r(Cm, K,,), the smallest order for a graph which forces it to contain either a cycle of order m or a set of n independent vertices. Then, another cycle-complete graph Ramsey number is studied, namely r(sCm, K,) the smallest order
It is shown that a graph of order N and average degree d that does not contain the book B m =K 1 +K 1, m as a subgraph has independence number at least Nf (d ), where f (x)t(log xΓx) (x Γ ). From this result we find that the book-complete graph Ramsey number satisfies r(B m , K n ) mn 2 Γlog(nΓe). I
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