## Abstract The irredundant Ramsey number __s(m, n)__ is the smallest p such that in every twoβcoloring of the edges of __K~p~__ using colors red (__R__) and blue (__B__), either the blue graph contains an __m__βelement irredundant set or the red graph contains an __n__βelement irredundant set. We
On upper domination Ramsey numbers for graphs
β Scribed by Michael A. Henning; Ortrud R. Oellermann
- Book ID
- 108315881
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 241 KB
- Volume
- 274
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Let p(G) denote the smallest number of vertices in a maximal clique of the graph G, while i(G) (the independent domination number of G) denotes the smallest number of vertices in a maximal independent (i.e. independent dominating) set of G. For given integers 1 and m, the lower Ramsey number s(l, m)
## Abstract For every __r__βgraph __G__ let Ο(__G__) be the minimal real number Ο΅ such that for every Ο΅ < 0 and __n__ Ο΅ __n__~0~(Ξ», __G__) every __R__βgraph __H__ with __n__ vertices and more than (Ο + Ο΅)(nr) edges contains a copy of __G__. The real number Ξ»(__G__) is defined in the same way, addin