Data structures and network algorithms
Data structures and network algorithms
Rounding via trees: deterministic approximation algorithms for group Steiner trees and k-median
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Approximation algorithms for directed Steiner problems
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
A polylogarithmic approximation algorithm for the group Steiner tree problem
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Probabilistic approximation of metric spaces and its algorithmic applications
FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
Integrality ratio for group Steiner trees and directed steiner trees
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Polylogarithmic inapproximability
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Energy Efficient Broadcast Routing in Static Ad Hoc Wireless Networks
IEEE Transactions on Mobile Computing
A greedy approximation algorithm for the group Steiner problem
Discrete Applied Mathematics
On average throughput and alphabet size in network coding
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
Minimum-cost multicast over coded packet networks
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
Interactive shader development
Proceedings of the 2007 ACM SIGGRAPH symposium on Video games
Foundations and Trends® in Networking
Energy efficient multicast routing in ad hoc wireless networks
Computer Communications
Set connectivity problems in undirected graphs and the directed Steiner network problem
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
The Set Connector Problem in Graphs
IPCO '07 Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization
Homogeneous 2-hop broadcast in 2D
Computational Geometry: Theory and Applications
A greedy approximation algorithm for the group Steiner problem
Discrete Applied Mathematics
Set connectivity problems in undirected graphs and the directed steiner network problem
ACM Transactions on Algorithms (TALG)
Approximation algorithms for multicast routing in ad hoc wireless networks
Journal of Combinatorial Optimization
Approximating k-generalized connectivity via collapsing HSTs
Journal of Combinatorial Optimization
Fast object detection using steiner tree
Machine Graphics & Vision International Journal
Register loading via linear programming
WADS'11 Proceedings of the 12th international conference on Algorithms and data structures
Improved approximation algorithms for Directed Steiner Forest
Journal of Computer and System Sciences
Homogeneous 2-hops broadcast in 2d
ICCSA'06 Proceedings of the 2006 international conference on Computational Science and Its Applications - Volume Part II
Forecasting complex group behavior via multiple plan recognition
Frontiers of Computer Science in China
The polymatroid steiner problems
ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
Nearly complete graphs decomposable into large induced matchings and their applications
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
A practical network coding and routing scheme based on maximum flow combination
International Journal of Network Management
Some further investigation on maximum throughput: does network coding really help?
Proceedings of the 24th International Teletraffic Congress
Multi-rooted greedy approximation of directed steiner trees with applications
WG'12 Proceedings of the 38th international conference on Graph-Theoretic Concepts in Computer Science
Fast semantic object search and detection for vegetable trading information using Steiner tree
Artificial Intelligence Review
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The directed Steiner tree problem is the following: given a directed graph G = (V, E) with weights on the edges, a set of terminals S ⊆ V, and a root vertex r, find a minimum weight out-branching T rooted at r, such that all vertices in S are included in T. This problem is known to be NP-hard. Recently, non-trivial polynomial time approximation algorithms have been developed for this problem with worst case approximation guarantees of O(kε) for any fixed ε 0. We consider a natural LP relaxation of this problem. Using a dual formulation we construct a simple deterministic (D + 1)-approximation algorithm for a special case when the subgraph induced by V \ S is a tree with depth D (for example, this can be shown to include the group Steiner tree problem as a special case, by the loss of poly-log factors in the approximation guarantee). We also show that this LP has an integrality gap of Θ(√k) for the general problem.