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APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
13 years 12 months ago
A Simple LP Relaxation for the Asymmetric Traveling Salesman Problem
A long-standing conjecture in Combinatorial Optimization is that the integrality gap of the Held-Karp LP relaxation for the Asymmetric Traveling Salesman Problem (ATSP) is a consta...
Thành Nguyen
APPROX
2008
Springer
94views Algorithms» more  APPROX 2008»
13 years 12 months ago
Budgeted Allocations in the Full-Information Setting
Aravind Srinivasan
APPROX
2008
Springer
135views Algorithms» more  APPROX 2008»
13 years 12 months ago
The Directed Minimum Latency Problem
We study the directed minimum latency problem: given an n-vertex asymmetric metric (V, d) with a root vertex r V , find a spanning path originating at r that minimizes the sum of...
Viswanath Nagarajan, R. Ravi
APPROX
2008
Springer
107views Algorithms» more  APPROX 2008»
13 years 12 months ago
A General Framework for Designing Approximation Schemes for Combinatorial Optimization Problems with Many Objectives Combined in
Abstract. In this paper, we propose a general framework for designing fully polynomial time approximation schemes for combinatorial optimization problems, in which more than one ob...
Shashi Mittal, Andreas S. Schulz
APPROX
2008
Springer
71views Algorithms» more  APPROX 2008»
13 years 12 months ago
Tight Bounds for Hashing Block Sources
It is known that if a 2-universal hash function H is applied to elements of a block source (X1, . . . , XT ), where each item Xi has enough min-entropy conditioned on the previous...
Kai-Min Chung, Salil P. Vadhan
APPROX
2008
Springer
88views Algorithms» more  APPROX 2008»
13 years 12 months ago
Limitations of Hardness vs. Randomness under Uniform Reductions
We consider (uniform) reductions from computing a function f to the task of distinguishing the output of some pseudorandom generator G from uniform. Impagliazzo and Wigderson [IW]...
Dan Gutfreund, Salil P. Vadhan
APPROX
2008
Springer
245views Algorithms» more  APPROX 2008»
13 years 12 months ago
Approximating Optimal Binary Decision Trees
Abstract. We give a (ln n + 1)-approximation for the decision tree (DT) problem. An instance of DT is a set of m binary tests T = (T1, . . . , Tm) and a set of n items X = (X1, . ....
Micah Adler, Brent Heeringa
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 12 months ago
Santa Claus Meets Hypergraph Matchings
We consider the problem of max-min fair allocation of indivisible goods. Our focus will be on the restricted version of the problem in which there are m items, each of which assoc...
Arash Asadpour, Uriel Feige, Amin Saberi
APPROX
2008
Springer
90views Algorithms» more  APPROX 2008»
13 years 12 months ago
Tensor Products of Weakly Smooth Codes Are Robust
: We continue the study of robustly testable tensor codes and expand the class of base codes that can be used as a starting point for the construction of locally testable codes via...
Eli Ben-Sasson, Michael Viderman
APPROX
2008
Springer
72views Algorithms» more  APPROX 2008»
13 years 12 months ago
Increasing the Output Length of Zero-Error Dispersers
Let C be a class of probability distributions over a finite set . A function D : {0, 1}m is a disperser for C with entropy threshold k and error if for any distribution X in C s...
Ariel Gabizon, Ronen Shaltiel