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» Approximation Algorithms for the Bottleneck Stretch Factor P...
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116
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SODA
2004
ACM
156views Algorithms» more  SODA 2004»
15 years 4 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
204
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SODA
2012
ACM
297views Algorithms» more  SODA 2012»
13 years 5 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
124
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APPROX
2005
Springer
88views Algorithms» more  APPROX 2005»
15 years 8 months 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
101
Voted
SWAT
2004
Springer
156views Algorithms» more  SWAT 2004»
15 years 8 months 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
135
Voted
CORR
2008
Springer
133views Education» more  CORR 2008»
15 years 2 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