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» On the Approximability of the Steiner Tree Problem
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ALGORITHMICA
1998
184views more  ALGORITHMICA 1998»
13 years 8 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
SODA
2000
ACM
114views Algorithms» more  SODA 2000»
13 years 10 months ago
The rectilinear Steiner arborescence problem is NP-complete
Given a set P of points in the first quadrant, a Rectilinear Steiner Arborescence (RSA) is a directed tree rooted at the origin, containing all points in P, and composed solely of...
Weiping Shi, Chen Su
APPROX
2004
Springer
119views Algorithms» more  APPROX 2004»
14 years 2 months ago
Cost-Sharing Mechanisms for Network Design
We consider a single-source network design problem from a game-theoretic perspective. Gupta, Kumar and Roughgarden (Proc. 35th Annual ACM STOC, pages 365–372, 2003) developed a ...
Anupam Gupta, Aravind Srinivasan, Éva Tardo...
TVLSI
2002
82views more  TVLSI 2002»
13 years 8 months ago
Probability-based approach to rectilinear Steiner tree problems
Abstract--The rectilinear Steiner tree (RST) problem is of essential importance to the automatic interconnect optimization for VLSI design. In this paper, we present a class of pro...
Chunhong Chen, Jiang Zhao, Majid Ahmadi
ICALP
2010
Springer
14 years 1 months ago
Network Design via Core Detouring for Problems without a Core
Some of the currently best-known approximation algorithms for network design are based on random sampling. One of the key steps of such algorithms is connecting a set of source nod...
Fabrizio Grandoni, Thomas Rothvoß