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» The Number of Independent Sets in a Regular Graph
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JCT
2007
117views more  JCT 2007»
14 years 10 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
CPC
2006
91views more  CPC 2006»
14 years 10 months ago
On the Independent Domination Number of Random Regular Graphs
William Duckworth, Nicholas C. Wormald
CPC
2002
76views more  CPC 2002»
14 years 10 months ago
Random Regular Graphs Of Non-Constant Degree: Independence And Chromatic Number
Colin Cooper, Alan M. Frieze, Bruce A. Reed, Olive...
MFCS
2007
Springer
15 years 4 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito