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» On the Complexity of the Maximum Cut Problem
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STOC
1995
ACM
145views Algorithms» more  STOC 1995»
13 years 11 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
COCOON
2005
Springer
14 years 1 months ago
On the Complexity of the Balanced Vertex Ordering Problem
We consider the problem of finding a balanced ordering of the vertices of a graph. More precisely, we want to minimise the sum, taken over all vertices v, of the difference betwe...
Jan Kára, Jan Kratochvíl, David R. W...
ICTCS
2005
Springer
14 years 1 months ago
Improved Exact Exponential Algorithms for Vertex Bipartization and Other Problems
Abstract. We study efficient exact algorithms for several problems including Vertex Bipartization, Feedback Vertex Set, 3-Hitting Set, Max Cut in graphs with maximum degree at most...
Venkatesh Raman, Saket Saurabh, Somnath Sikdar
DAM
2006
136views more  DAM 2006»
13 years 7 months ago
The complexity of maximum matroid-greedoid intersection and weighted greedoid maximization,
The maximum intersection problem for a matroid and a greedoid, given by polynomialtime oracles, is shown NP-hard by expressing the satisfiability of boolean formulas in 3-conjunct...
Taneli Mielikäinen, Esko Ukkonen
COCOON
2007
Springer
14 years 1 months ago
On the Complexity of Finding an Unknown Cut Via Vertex Queries
We investigate the problem of finding an unknown cut through querying vertices of a graph G. Our complexity measure is the number of submitted queries. To avoid some worst cases, ...
Peyman Afshani, Ehsan Chiniforooshan, Reza Dorrigi...