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COMBINATORICA
2007
119views more  COMBINATORICA 2007»
13 years 4 months ago
Complete partitions of graphs
A complete partition of a graph G is a partition of its vertex set in which any two distinct classes are connected by an edge. Let cp(G) denote the maximum number of classes in a ...
Magnús M. Halldórsson, Guy Kortsarz,...
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 4 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
13 years 9 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
ICDE
2012
IEEE
240views Database» more  ICDE 2012»
11 years 7 months ago
Approximate Shortest Distance Computing: A Query-Dependent Local Landmark Scheme
—Shortest distance query between two nodes is a fundamental operation in large-scale networks. Most existing methods in the literature take a landmark embedding approach, which s...
Miao Qiao, Hong Cheng, Lijun Chang, Jeffrey Xu Yu
JGAA
2000
179views more  JGAA 2000»
13 years 4 months ago
Approximation Algorithms for Some Graph Partitioning Problems
This paper considers problems of the following type: given an edgeweighted k-colored input graph with maximum color class size c, find a minimum or maximum c-way cut such that eac...
George He, Jiping Liu, Cheng Zhao