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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
COCOON
2008
Springer
13 years 8 months ago
Approximating the Generalized Capacitated Tree-Routing Problem
In this paper, we introduce the generalized capacitated tree-routing problem (GCTR), which is described as follows. Given a connected graph G = (V, E) with a sink s V and a set M...
Ehab Morsy, Hiroshi Nagamochi
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
14 years 2 days ago
The Polymatroid Steiner Problems
The Steiner tree problem asks for a minimum cost tree spanning a given set of terminals S ⊆ V in a weighted graph G = (V, E, c), c : E → R+ . In this paper we consider a genera...
Gruia Calinescu, Alexander Zelikovsky
ESA
2008
Springer
115views Algorithms» more  ESA 2008»
13 years 8 months ago
Deterministic Sampling Algorithms for Network Design
For several NP-hard network design problems, the best known approximation algorithms are remarkably simple randomized algorithms called Sample-Augment algorithms in [11]. The algor...
Anke van Zuylen
SIAMDM
2008
139views more  SIAMDM 2008»
13 years 6 months ago
Approximate Integer Decompositions for Undirected Network Design Problems
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Chandra Chekuri, F. Bruce Shepherd