109 search results - page 1 / 22 » Large independent sets in regular graphs of large girth |
JCT
2007
13 years 7 months ago
2007
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
CORR
2008
Springer
13 years 6 months ago
2008
Springer
CPC
2007
13 years 7 months ago
2007
In 1972, M. Rosenfeld asked if every triangle-free graph could be embedded in the unit sphere Sd in such a way that two vertices joined by an edge have distance more than √ 3 (i...
DM
2010
13 years 7 months ago
2010
The chromatic capacity of a graph G; CAP (G) ; is the largest integer k such that there is a k-colouring of the edges of G such that when the vertices of G are coloured with the s...
DM
2000
13 years 7 months ago
2000
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...