A nearly best-possible approximation algorithm for node-weighted Steiner trees
Journal of Algorithms
Constructing minimum-energy broadcast trees in wireless ad hoc networks
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
Introduction to Algorithms
The Power Range Assignment Problem in Radio Networks on the Plane
STACS '00 Proceedings of the 17th Annual Symposium on Theoretical Aspects of Computer Science
Hardness Results for the Power Range Assignmet Problem in Packet Radio Networks
RANDOM-APPROX '99 Proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems: Randomization, Approximation, and Combinatorial Algorithms and Techniques
On the power assignment problem in radio networks
Mobile Networks and Applications - Discrete algorithms and methods for mobile computing and communications
Iterated Local Optimization for Minimum Energy Broadcast
WIOPT '05 Proceedings of the Third International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
ExOR: opportunistic multi-hop routing for wireless networks
Proceedings of the 2005 conference on Applications, technologies, architectures, and protocols for computer communications
Range assignment for biconnectivity and k-edge connectivity in wireless ad hoc networks
Mobile Networks and Applications
Maximizing network lifetime of broadcasting over wireless stationary ad hoc networks
Mobile Networks and Applications
Power optimization for connectivity problems
Mathematical Programming: Series A and B
Long distance wireless mesh network planning: problem formulation and solution
Proceedings of the 16th international conference on World Wide Web
A novel tree-based broadcast algorithm for wireless ad hoc networks
International Journal of Wireless and Mobile Computing
Power optimization in fault-tolerant topology control algorithms for wireless multi-hop networks
IEEE/ACM Transactions on Networking (TON)
Approximating Minimum-Power k-Connectivity
ADHOC-NOW '08 Proceedings of the 7th international conference on Ad-hoc, Mobile and Wireless Networks
Approximating minimum-power edge-covers and 2,3-connectivity
Discrete Applied Mathematics
On minimum power connectivity problems
Journal of Discrete Algorithms
Approximating Steiner networks with node weights
LATIN'08 Proceedings of the 8th Latin American conference on Theoretical informatics
Approximating minimum-power degree and connectivity problems
LATIN'08 Proceedings of the 8th Latin American conference on Theoretical informatics
Detecting high log-densities: an O(n¼) approximation for densest k-subgraph
Proceedings of the forty-second ACM symposium on Theory of computing
Approximating minimum power covers of intersecting families and directed connectivity problems
APPROX'06/RANDOM'06 Proceedings of the 9th international conference on Approximation Algorithms for Combinatorial Optimization Problems, and 10th international conference on Randomization and Computation
Survivable network activation problems
LATIN'12 Proceedings of the 10th Latin American international conference on Theoretical Informatics
Node-weighted network design in planar and minor-closed families of graphs
ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part I
Approximating minimum-cost connectivity problems via uncrossable bifamilies
ACM Transactions on Algorithms (TALG)
Survivable network activation problems
Theoretical Computer Science
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Survivable network design is an important suite of algorithmic problems where the goal is to select a minimum cost network subject to the constraint that some desired connectivity property has to be satisfied by the network. Traditionally, these problems have been studied in a model where individual edges (and sometimes nodes) have an associated cost. This model does not faithfully represent wireless networks, where the activation of an edge is dependent on the selection of parameter values at its endpoints, and the cost incurred is a function of these values. We present a realistic optimization model for the design of survivable wireless networks that generalizes various connectivity problems studied in the theory literature, e.g. node-weighted steiner network, power optimization, minimum connected dominating set, and in the networking literature, e.g. installation cost optimization, minimum broadcast tree. We obtain the following algorithmic results for our general model: 1. For k = 1 and 2, we give O(log n)-approximation algorithms for both the vertex and edge connectivity versions of the k-connectivity problem. These results are tight (up to constants); we show that even for k = 1, it is NP-hard to obtain an approximation factor of o(log n). 2. For the minimum steiner network problem, we give a tight (up to constants) O(log n)-approximation algorithm. 3. We give a reduction from the k-edge connectivity problem to a more tractable degree-constrained problem. This involves proving new connectivity theorems that might be of independent interest. We apply this result to obtain new approximation algorithms in the power optimization and installation cost optimization applications.