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CORR
2008
Springer
129views Education» more  CORR 2008»
15 years 4 months ago
Bounds on Codes Based on Graph Theory
"THIS PAPER IS ELIGIBLE FOR THE STUDENT PAPER AWARD" Let Aq(n, d) be the maximum order (maximum number of codewords) of a q-ary code of length n and Hamming distance at l...
Salim Y. El Rouayheb, Costas N. Georghiades, Emina...
CORR
2004
Springer
115views Education» more  CORR 2004»
15 years 4 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»
15 years 1 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...
DM
2008
88views more  DM 2008»
15 years 4 months ago
Lower bounding the boundary of a graph in terms of its maximum or minimum degree
A vertex v of a graph G is a boundary vertex if there exists a vertex u such that the distance in G from u to v is at least the distance from u to any neighbour of v. We give the ...
Tobias Müller, Attila Pór, Jean-S&eacu...
CORR
2008
Springer
150views Education» more  CORR 2008»
15 years 4 months ago
A Dynamic Programming Framework for Combinatorial Optimization Problems on Graphs with Bounded Pathwidth
In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, ...
Mugurel Ionut Andreica