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» Improved Approximation Algorithms for Metric Max TSP
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ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 17 days ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
CIAC
2006
Springer
160views Algorithms» more  CIAC 2006»
13 years 11 months ago
An Approximation Algorithm for a Bottleneck Traveling Salesman Problem
Consider a truck running along a road. It picks up a load Li at point i and delivers it at i, carrying at most one load at a time. The speed on the various parts of the road in on...
Ming-Yang Kao, Manan Sanghi
SIAMCOMP
1998
176views more  SIAMCOMP 1998»
13 years 7 months ago
An O(log k) Approximate Min-Cut Max-Flow Theorem and Approximation Algorithm
It is shown that the minimum cut ratio is within a factor of O(log k) of the maximum concurrent flow for k-commodity flow instances with arbitrary capacities and demands. This im...
Yonatan Aumann, Yuval Rabani
TALG
2008
86views more  TALG 2008»
13 years 7 months ago
Embeddings of negative-type metrics and an improved approximation to generalized sparsest cut
In this paper, we study the metrics of negative type, which are metrics (V, d) such that d is an Euclidean metric; these metrics are thus also known as " 2-squared" met...
Shuchi Chawla, Anupam Gupta, Harald Räcke
APPROX
2000
Springer
190views Algorithms» more  APPROX 2000»
13 years 11 months ago
Approximating node connectivity problems via set covers
Given a graph (directed or undirected) with costs on the edges, and an integer k, we consider the problem of nding a k-node connected spanning subgraph of minimum cost. For the ge...
Guy Kortsarz, Zeev Nutov