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» Large-Girth Roots of Graphs
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JCT
2007
117views more  JCT 2007»
14 years 11 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»
14 years 11 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»
14 years 11 months ago
Dense Minors In Graphs Of Large Girth
Reinhard Diestel, Christof Rempel
JCT
2002
79views more  JCT 2002»
14 years 10 months ago
Topological Minors in Graphs of Large Girth
Daniela Kühn, Deryk Osthus
CORR
2007
Springer
116views Education» more  CORR 2007»
14 years 11 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