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EJC
2007
13 years 10 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»
13 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
CORR
2004
Springer
115views Education» more  CORR 2004»
13 years 10 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...
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 8 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...
COLING
2010
13 years 5 months ago
A Linguistically Grounded Graph Model for Bilingual Lexicon Extraction
We present a new method, based on graph theory, for bilingual lexicon extraction without relying on resources with limited availability like parallel corpora. The graphs we use re...
Florian Laws, Lukas Michelbacher, Beate Dorow, Chr...