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» Approximating the Weight of Shallow Steiner Trees
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NETWORKS
2010
13 years 4 months ago
Probabilistic models for the Steiner Tree problem
We consider a probabilistic model for the Steiner Tree problem. Under this model the problem is defined in a 2-stage setting over a first-stage complete weighted graph having it...
Vangelis Th. Paschos, Orestis Telelis, Vassilis Zi...
SODA
2001
ACM
87views Algorithms» more  SODA 2001»
13 years 7 months ago
Steiner points in tree metrics don't (really) help
Consider an edge-weighted tree T = (V, E, w : E R+ ), in which a subset R of the nodes (called the required nodes) are colored red and the remaining nodes in S = V \R are colored ...
Anupam Gupta
STOC
2006
ACM
186views Algorithms» more  STOC 2006»
14 years 5 months ago
A subset spanner for Planar graphs, : with application to subset TSP
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Philip N. Klein
ICALP
2005
Springer
13 years 11 months ago
New Approaches for Virtual Private Network Design
Virtual Private Network Design is the following NP-hard problem. We are given a communication network, represented as a weighted graph with thresholds on the nodes which represent...
Friedrich Eisenbrand, Fabrizio Grandoni, Gianpaolo...
ALGORITHMICA
1998
184views more  ALGORITHMICA 1998»
13 years 5 months ago
Approximation Algorithms for Connected Dominating Sets
The dominatingset problemin graphs asks for a minimumsize subset of vertices with the followingproperty: each vertex is required to either be in the dominating set, or adjacent to...
Sudipto Guha, Samir Khuller