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» Large-Girth Roots of Graphs
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99
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JCT
2007
117views more  JCT 2007»
15 years 17 days 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
84
Voted
DM
2010
131views more  DM 2010»
15 years 22 days 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
45
Voted
COMBINATORICA
2004
85views more  COMBINATORICA 2004»
15 years 15 days ago
Dense Minors In Graphs Of Large Girth
Reinhard Diestel, Christof Rempel
55
Voted
JCT
2002
79views more  JCT 2002»
15 years 10 days ago
Topological Minors in Graphs of Large Girth
Daniela Kühn, Deryk Osthus
111
Voted
CORR
2007
Springer
116views Education» more  CORR 2007»
15 years 19 days 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