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» Vertices of given degree in series-parallel graphs
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DAM
2008
108views more  DAM 2008»
15 years 1 months ago
On the complexity of the multicut problem in bounded tree-width graphs and digraphs
Given an edge- or vertex-weighted graph or digraph and a list of source-sink pairs, the minimum multicut problem consists in selecting a minimum weight set of edges or vertices wh...
Cédric Bentz
122
Voted
JCO
2011
113views more  JCO 2011»
14 years 8 months ago
Hardness and algorithms for rainbow connection
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, denoted r...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
112
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DNA
2006
Springer
126views Bioinformatics» more  DNA 2006»
15 years 5 months ago
On the Complexity of Graph Self-assembly in Accretive Systems
We study the complexity of the Accretive Graph Assembly Problem (AGAP). An instance of AGAP consists of an edge-weighted graph G, a seed vertex in G, and a temperature . The goal i...
Stanislav Angelov, Sanjeev Khanna, Mirkó Vi...
ENDM
2008
142views more  ENDM 2008»
15 years 1 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
Ignaz Rutter, Alexander Wolff
111
Voted
JCO
2007
97views more  JCO 2007»
15 years 1 months ago
Restricted domination parameters in graphs
In a graph G, a vertex dominates itself and its neighbors. A subset S ⊆ V (G) is an m-tuple dominating set if S dominates every vertex of G at least m times, and an m-dominating...
Wayne Goddard, Michael A. Henning