𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On multicolor Ramsey numbers for complete bipartite graphs

✍ Scribed by Fan R.K Chung; R.L Graham


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
268 KB
Volume
18
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the Ramsey Problem for Multicolor Bip
✍ W.A Carnielli; E.L Monte Carmelo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 85 KB

Given i, j positive integers, let K denote a bipartite complete graph and let i, j ## Ε½ . R m, n be the smallest integer a such that for any r-coloring of the edges of K r a, a one can always find a monochromatic subgraph isomorphic to K . In other m, n Ε½ . Γ„ 4 words, if a G R m, n then every mat

The size Ramsey number of a complete bip
✍ P. Erdo˝s; C.C. Rousseau πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 240 KB

Erd6s. P. and C.C. Rousseau, The size Ramsey number of a complete bipartite graph, Discrete Mathematics 113 (1993) 259-262. In this note we prove that the (diagonal) size Ramsey number of K,,.,, is bounded below by $2'2".

More rotation numbers for complete bipar
✍ BΓ©la BollobΓ‘s; E. J. Cockayne πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 285 KB

## Abstract Let __G__ be a simple undirected graph which has __p__ vertices and is rooted at __x__. Informally, the __rotation number h(G, x)__ of this rooted graph is the minimum number of edges in a __p__ vertex graph __H__ such that for each vertex __v__ of __H__, there exists a copy of __G__ in

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