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SODA
2004
ACM
156views Algorithms» more  SODA 2004»
13 years 8 months ago
Approximating Minimum Max-Stretch spanning Trees on unweighted graphs
Given a graph G and a spanning tree T of G, we say that T is a tree t-spanner of G if the distance between every pair of vertices in T is at most t times their distance in G. The p...
Yuval Emek, David Peleg
SODA
2012
ACM
297views Algorithms» more  SODA 2012»
11 years 9 months ago
Constant factor approximation algorithm for the knapsack median problem
We give a constant factor approximation algorithm for the following generalization of the k-median problem. We are given a set of clients and facilities in a metric space. Each fa...
Amit Kumar
APPROX
2005
Springer
88views Algorithms» more  APPROX 2005»
14 years 26 days ago
Approximating the Best-Fit Tree Under Lp Norms
Abstract. We consider the problem of fitting an n × n distance matrix M by a tree metric T. We give a factor O(min{n1/p , (k log n)1/p }) approximation algorithm for finding the...
Boulos Harb, Sampath Kannan, Andrew McGregor
SWAT
2004
Springer
156views Algorithms» more  SWAT 2004»
14 years 19 days ago
The Bottleneck Problem with Minimum Quantity Commitments
Given an edge-distance graph of a set of suppliers and clients, the bottleneck problem is to assign each client to a selected supplier minimizing their maximum distance. We introdu...
Andrew Lim, Zhou Xu
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 7 months ago
On Geometric Spanners of Euclidean and Unit Disk Graphs
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
Iyad A. Kanj, Ljubomir Perkovic