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» Large-Girth Roots of Graphs
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JCT
2007
117views more  JCT 2007»
13 years 5 months ago
Large independent sets in regular graphs of large girth
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 → ∞,...
Joseph Lauer, Nicholas C. Wormald
DM
2010
131views more  DM 2010»
13 years 5 months ago
On a construction of graphs with high chromatic capacity and large girth
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...
Bing Zhou
COMBINATORICA
2004
85views more  COMBINATORICA 2004»
13 years 5 months ago
Dense Minors In Graphs Of Large Girth
Reinhard Diestel, Christof Rempel
JCT
2002
79views more  JCT 2002»
13 years 4 months ago
Topological Minors in Graphs of Large Girth
Daniela Kühn, Deryk Osthus
CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 5 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel