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» On the Approximability of the Steiner Tree Problem
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ALGORITHMICA
1998
184views more  ALGORITHMICA 1998»
15 years 6 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»
15 years 8 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»
16 years 2 hour 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»
15 years 6 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
15 years 11 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