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» On Bounds for the k-Partitioning of Graphs
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CORR
2004
Springer
115views Education» more  CORR 2004»
14 years 9 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...
DM
2008
88views more  DM 2008»
14 years 10 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»
14 years 10 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
DM
2006
103views more  DM 2006»
14 years 10 months ago
Bounds on the forcing numbers of bipartite graphs
The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demon...
Seth Kleinerman
CORR
2010
Springer
95views Education» more  CORR 2010»
14 years 10 months ago
A lower bound for the tree-width of planar graphs with vital linkages
The disjoint paths problem asks, given an graph G and k + 1 pairs of terminals (s0, t0), . . . , (sk, tk), whether there are k + 1 pairwise disjoint paths P0, . . . , Pk, such tha...
Isolde Adler, Philipp Klaus Krause