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136
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APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
15 years 4 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
121
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STOC
1998
ACM
167views Algorithms» more  STOC 1998»
15 years 7 months ago
An Improved Approximation Algorithm for Multiway Cut
Given an undirected graph with edge costs and a subset of k nodes called terminals, a multiway cut is a subset of edges whose removal disconnects each terminal from the rest. Mult...
Gruia Calinescu, Howard J. Karloff, Yuval Rabani
133
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ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
15 years 8 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
120
Voted
ESA
2007
Springer
140views Algorithms» more  ESA 2007»
15 years 9 months ago
On Minimum Power Connectivity Problems
Given a (directed or undirected) graph with edge costs, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of its n...
Yuval Lando, Zeev Nutov
134
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SODA
2010
ACM
248views Algorithms» more  SODA 2010»
16 years 3 days ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani