𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Ramsey numbers for special complete distance graphs

✍ 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.


πŸ“œ SIMILAR VOLUMES


On cycleβ€”Complete graph ramsey numbers
✍ P. ErdΓΆs; R. J. Faudree; C. C. Rousseau; R. H. Schelp πŸ“‚ Article πŸ“… 1978 πŸ› John Wiley and Sons 🌐 English βš– 507 KB

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

On Book-Complete Graph Ramsey Numbers
✍ Yusheng Li; C.C. Rousseau πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 274 KB

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 xΓ‚x) (x Γ„ ). From this result we find that the book-complete graph Ramsey number satisfies r(B m , K n ) mn 2 Γ‚log(nΓ‚e). I

Fan-complete graph Ramsey numbers
✍ Li, Yusheng; Rousseau, Cecil C. πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 427 KB πŸ‘ 2 views

It is shown that if G and H are arbitrary fixed graphs and n is sufficiently large, then Also, we prove that r ( K 1 +F, K,) 5 (m+o(l))&(n -+ GO) for any forest Fwhose largest component has m edges. Thus r(Fe, K,) 5 (1 + o(l))&, where Fe = K1 + CK2. We conjecture that r(Fe, K,) -&(n + cm).