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APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
13 years 9 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
STOC
1998
ACM
167views Algorithms» more  STOC 1998»
13 years 11 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
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 28 days 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, ...
ESA
2007
Springer
140views Algorithms» more  ESA 2007»
14 years 1 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
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 5 months 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