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STOC
2003
ACM
171views Algorithms» more  STOC 2003»
16 years 6 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
FOCS
2005
IEEE
15 years 11 months ago
On Non-Approximability for Quadratic Programs
This paper studies the computational complexity of the following type of quadratic programs: given an arbitrary matrix whose diagonal elements are zero, find x ∈ {−1, +1}n th...
Sanjeev Arora, Eli Berger, Elad Hazan, Guy Kindler...
FOCS
2003
IEEE
15 years 11 months ago
Approximation Algorithms for Asymmetric TSP by Decomposing Directed Regular Multigraphs
A directed multigraph is said to be d-regular if the indegree and outdegree of every vertex is exactly d. By Hall’s theorem one can represent such a multigraph as a combination ...
Haim Kaplan, Moshe Lewenstein, Nira Shafrir, Maxim...
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
15 years 11 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...
COCO
1994
Springer
140views Algorithms» more  COCO 1994»
15 years 10 months ago
Random Debaters and the Hardness of Approximating Stochastic Functions
A probabilistically checkable debate system (PCDS) for a language L consists of a probabilisticpolynomial-time veri er V and a debate between Player 1, who claims that the input x ...
Anne Condon, Joan Feigenbaum, Carsten Lund, Peter ...