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» Approximating the minimum hub cover problem on planar graphs
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ICALP
2007
Springer
13 years 10 months ago
Linear Problem Kernels for NP-Hard Problems on Planar Graphs
Abstract. We develop a generic framework for deriving linear-size problem kernels for NP-hard problems on planar graphs. We demonstrate the usefulness of our framework in several c...
Jiong Guo, Rolf Niedermeier
SODA
2012
ACM
262views Algorithms» more  SODA 2012»
11 years 7 months ago
A polynomial-time approximation scheme for planar multiway cut
Given an undirected graph with edge lengths and a subset of nodes (called the terminals), the multiway cut (also called the multi-terminal cut) problem asks for a subset of edges,...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi, ...
ESA
2005
Springer
145views Algorithms» more  ESA 2005»
13 years 10 months ago
Approximation Schemes for Minimum 2-Connected Spanning Subgraphs in Weighted Planar Graphs
Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
André Berger, Artur Czumaj, Michelangelo Gr...
DAM
2011
12 years 11 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz
SODA
2004
ACM
152views Algorithms» more  SODA 2004»
13 years 6 months ago
Approximation schemes for minimum 2-edge-connected and biconnected subgraphs in planar graphs
Given an undirected graph, finding either a minimum 2-edge-connected spanning subgraph or a minimum 2vertex-connected (biconnected) spanning subgraph is MaxSNP-hard. We show that ...
Artur Czumaj, Michelangelo Grigni, Papa Sissokho, ...