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» Better Bounds for Incremental Medians
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WAOA
2007
Springer
126views Algorithms» more  WAOA 2007»
13 years 10 months ago
Better Bounds for Incremental Medians
In the incremental version of the well-known k-median problem the objective is to compute an incremental sequence of facility sets F1 ⊆ F2 ⊆ .... ⊆ Fn, where each Fk contain...
Marek Chrobak, Mathilde Hurand
CCCG
2010
13 years 6 months ago
The projection median of a set of points in Rd
The projection median of a finite set of points in R2 was introduced by Durocher and Kirkpatrick [5]. They proved the projection median in R2 provides a better approximation of th...
Riddhipratim Basu, Bhaswar Bhattacharya, Tanmoy Ta...
CORR
2011
Springer
170views Education» more  CORR 2011»
12 years 11 months ago
Better Bounds for Incremental Frequency Allocation in Bipartite Graphs
We study frequency allocation in wireless networks. A wireless network is modeled by an undirected graph, with vertices corresponding to cells. In each vertex we have a certain nu...
Marek Chrobak, Lukasz Jez, Jiri Sgall
SWAT
2004
Springer
78views Algorithms» more  SWAT 2004»
13 years 10 months ago
Online Maintenance of k-Medians and k-Covers on a Line
The standard dynamic programming solution to finding k-medians on a line with n nodes requires O(kn2 ) time. Dynamic programming speedup techniques, e.g., use of the quadrangle i...
Rudolf Fleischer, Mordecai J. Golin, Yan Zhang
SODA
2012
ACM
200views Algorithms» more  SODA 2012»
11 years 7 months ago
The shifting sands algorithm
We resolve the problem of small-space approximate selection in random-order streams. Specifically, we present an algorithm that reads the n elements of a set in random order and ...
Andrew McGregor, Paul Valiant