𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Canonical Ramsey Numbers for Complete Graphs versus Paths

✍ Scribed by H. Lefmann; V. Rodl


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
405 KB
Volume
58
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On ramsey numbers of forests versus near
✍ Gary Chartrand; Ronald J. Gould; Albert D. Polimeni πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 269 KB πŸ‘ 1 views

## Abstract A formula is presented for the ramsey number of any forest of order at least 3 versus any graph __G__ of order __n__ β‰₯ 4 having clique number __n__ ‐ 1. In particular, if __T__ is a tree of order __m__ β‰₯ 3, then __r(T, G)__ = 1 + (__m__ ‐ 1)(__n__ ‐ 2).

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

The ramsey numbers for stripes and one c
✍ Peter Lorimer πŸ“‚ Article πŸ“… 1984 πŸ› John Wiley and Sons 🌐 English βš– 244 KB πŸ‘ 1 views

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 ) =

Local and meank-Ramsey numbers for compl
✍ Schelp, R. H. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 67 KB πŸ‘ 2 views

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.

On irredundant Ramsey numbers for graphs
✍ Johannes H. Hattingh πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 248 KB

## Abstract The irredundant Ramsey number __s(m, n)__ is the smallest p such that in every two‐coloring of the edges of __K~p~__ using colors red (__R__) and blue (__B__), either the blue graph contains an __m__‐element irredundant set or the red graph contains an __n__‐element irredundant set. We