𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multipartite graph—Sparse graph Ramsey numbers

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


Book ID
110564293
Publisher
Springer-Verlag
Year
1985
Tongue
English
Weight
400 KB
Volume
5
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Ramsey numbers for sparse graphs
✍ Nancy Eaton 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 512 KB

We consider a class of graphs on n vertices, called (d,f)-arrangeable graphs. This class of graphs contains all graphs of bounded degree d, and all df-arrangeable graphs, a class introduced by Chen and Schelp in 1993. In 1992, a variation of the Regularity Lemma of Szemer6di was introduced by Eaton

On Ramsey numbers involving starlike mul
✍ S. A. Burr; R. J. Faudree; C. C. Rousseau; R. H. Schelp 📂 Article 📅 1983 🏛 John Wiley and Sons 🌐 English ⚖ 655 KB

The Ramsey number r ( G , H ) is evaluated exactly in certain cases in which both G and H are complete multipartite graphs K(n,, n2, ..., n k ) . Specifically, each of the following cases is handled whenever n is sufficiently large: r(K(1, m,, ..., m k ) , K(1, n)), r(K(1, m), K(n,, ..., nk, n)), pr

Linear Ramsey numbers of sparse graphs
✍ Lingsheng Shi 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 102 KB

## Abstract The Ramsey number __R__(__G__~1~,__G__~2~) of two graphs __G__~1~ and __G__~2~ is the least integer __p__ so that either a graph __G__ of order __p__ contains a copy of __G__~1~ or its complement __G__^c^ contains a copy of __G__~2~. In 1973, Burr and Erdős offered a total of $25 for se

Sparse ramsey graphs
✍ Jaroslav Nešetřil; Vojtěch Rödl 📂 Article 📅 1984 🏛 Springer-Verlag 🌐 English ⚖ 346 KB
Sparse Anti-Ramsey Graphs
✍ Y. Kohayakawa; T. Luczak 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 269 KB

It is shown that for every \(l \geqslant 3\) there exists a graph \(G\) of girth / such that in any proper edge-colouring of \(G\) one may find a cycle of length / all of whose edges are given different colours. 1995 Academic Press. Inc.

On the Ramsey Number of Sparse 3-Graphs
✍ Brendan Nagle; Sayaka Olsen; Vojtěch Rödl; Mathias Schacht 📂 Article 📅 2008 🏛 Springer Japan 🌐 English ⚖ 246 KB