𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Small order graph-tree Ramsey numbers

✍ Scribed by R.J. Faudree; C.C. Rousseau; R.H. Schelp


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
521 KB
Volume
72
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


With but a few exceptions, the Ramsey number r(G, T) is determined for all connected graphs G with at most five vertices and all trees T.


πŸ“œ SIMILAR VOLUMES


Tree-complete graph ramsey numbers
✍ V. ChvΓ‘tal πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 50 KB

## Abstract The ramsey number of any tree of order __m__ and the complete graph of order __n__ is 1 + (__m__ βˆ’ 1)(__n__ βˆ’ 1).

Size Ramsey numbers for small-order grap
✍ R. J. Faudree; J. Sheehan πŸ“‚ Article πŸ“… 1983 πŸ› John Wiley and Sons 🌐 English βš– 108 KB

A table of the size Ramsey number or the restricted size Rarnsey number for all pairs of graphs with at most four vertices and no isolated vertices is given. Let F, G, and H be finite, simple, and undirected graphs. The number of vertices and edges of a graph F are denoted byp(F) and q(F), respecti

Extremal theory and bipartite graph-tree
✍ P. Erd'́os; R.J. Faudree; C.C. Rousseau; R.H. Schelp πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 675 KB

For a positive integer n and graph E, fs(n) is the least integer m such that any graph of order n and minimal degree m has a copy of B. It will be show that if B is a bipartite graph with parts of order k and 1 (k G I), then there exists a positive constant c, such that for any tree T,, of order II

On graphs with small Ramsey numbers
✍ A. V. Kostochka; V. RΓΆdl πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 88 KB

## Abstract Let __R__(__G__) denote the minimum integer __N__ such that for every bicoloring of the edges of __K~N~__, at least one of the monochromatic subgraphs contains __G__ as a subgraph. We show that for every positive integer __d__ and each Ξ³,0 < γ < 1, there exists __k__ = __k__(__d__,Ξ³) su

Ramsey numbers for sets of small graphs
✍ Holger Brandes; Heiko Harborth; Hans-Dietrich O.F. Gronau; Christian Schwahn πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 733 KB

The Ramsey number r=r(G1-GZ-...-G,,,,H1-Hz-...-Hn) denotes the smallest r such that every 2-coloring of the edges of the complete graph K, contains a subgraph Gi with all edges of one color, or a subgraph Hi with all edges of a second color. These Ramsey numbers are determined for all sets of graph