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» On the Grundy Number of a Graph
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EJC
2007
15 years 6 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n â...
Oliver Cooley, Daniela Kühn, Deryk Osthus
JCT
2007
117views more  JCT 2007»
15 years 6 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
CORR
2004
Springer
115views Education» more  CORR 2004»
15 years 6 months ago
Bounds on the decoding complexity of punctured codes on graphs
We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the bi...
Henry D. Pfister, Igal Sason, Rüdiger L. Urba...
JAIR
2010
130views more  JAIR 2010»
15 years 5 months ago
Join-Graph Propagation Algorithms
The paper investigates parameterized approximate message-passing schemes that are based on bounded inference and are inspired by Pearl’s belief propagation algorithm (BP). We st...
Robert Mateescu, Kalev Kask, Vibhav Gogate, Rina D...
CORR
2010
Springer
168views Education» more  CORR 2010»
15 years 4 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...