Augmenting graphs to meet edge-connectivity requirements
SIAM Journal on Discrete Mathematics
A General Approximation Technique for Constrained Forest Problems
SIAM Journal on Computing
Improved approximation algorithms for uniform connectivity problems
Journal of Algorithms
Optimal transmission ranges for mobile communication in linear multihop packet radio networks
Wireless Networks - Special issue on performance evaluation methods for wireless networks
Dynamic channel allocation for linear macrocellular topology
Proceedings of the 1999 ACM symposium on Applied computing
Power consumption in packet radio networks
Theoretical Computer Science
A Distributed Algorithm for Minimum-Weight Spanning Trees
ACM Transactions on Programming Languages and Systems (TOPLAS)
Analysis of a cone-based distributed topology control algorithm for wireless multi-hop networks
Proceedings of the twentieth annual ACM symposium on Principles of distributed computing
Approximation algorithms for minimum-cost k-vertex connected subgraphs
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Constructing minimum-energy broadcast trees in wireless ad hoc networks
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
Algorithmic aspects of topology control problems for ad hoc networks
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
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 Symmetric Range Assignment Problem in Wireless Ad Hoc Networks
TCS '02 Proceedings of the IFIP 17th World Computer Congress - TC1 Stream / 2nd IFIP International Conference on Theoretical Computer Science: Foundations of Information Technology in the Era of Networking and Mobile Computing
Symmetric Connectivity with Minimum Power Consumption in Radio Networks
TCS '02 Proceedings of the IFIP 17th World Computer Congress - TC1 Stream / 2nd IFIP International Conference on Theoretical Computer Science: Foundations of Information Technology in the Era of Networking and Mobile Computing
FLSS: a fault-tolerant topology control algorithm for wireless networks
Proceedings of the 10th annual international conference on Mobile computing and networking
Applications of k-Local MST for Topology Control and Broadcasting in Wireless Ad Hoc Networks
IEEE Transactions on Parallel and Distributed Systems
Deploying sensor networks with guaranteed capacity and fault tolerance
Proceedings of the 6th ACM international symposium on Mobile ad hoc networking and computing
k-fault resistance in wireless ad-hoc networks
DIALM-POMC '05 Proceedings of the 2005 joint workshop on Foundations of mobile computing
Localized Fault-Tolerant Topology Control in Wireless Ad Hoc Networks
IEEE Transactions on Parallel and Distributed Systems
Efficient management of transient station failures in linear radio communication networks with bases
Journal of Parallel and Distributed Computing - Special issue: Algorithms for wireless and ad-hoc networks
Local approximation schemes for topology control
Proceedings of the twenty-fifth annual ACM symposium on Principles of distributed computing
Range assignment for biconnectivity and k-edge connectivity in wireless ad hoc networks
Mobile Networks and Applications
Equilibria in topology control games for ad hoc networks
Mobile Networks and Applications
Journal of Parallel and Distributed Computing
Fault tolerant topology control for one-to-all communications in symmetric wireless networks
International Journal of Sensor Networks
On approximate optimal dual power assignment for biconnectivity and edge-biconnectivity
Theoretical Computer Science
Asymptotic critical total power for k-connectivity of wireless networks
IEEE/ACM Transactions on Networking (TON)
Power efficient resilience and lifetime in wireless ad-hoc networks
Proceedings of the 1st ACM international workshop on Foundations of wireless ad hoc and sensor networking and computing
Symmetric range assignment with disjoint MST constraints
Proceedings of the fifth international workshop on Foundations of mobile computing
On construction of minimum energy k-fault resistant topologies
Ad Hoc Networks
Variable radii connected sensor cover in sensor networks
ACM Transactions on Sensor Networks (TOSN)
On the asymptotic minimum transporting energy and its implication on the wireless network capacity
IEEE/ACM Transactions on Networking (TON)
Low-energy fault-tolerant bounded-hop broadcast in wireless networks
IEEE/ACM Transactions on Networking (TON)
Fault-Tolerant Routing: k-Inconnected Many-to-One Routing in Wireless Networks
COCOA '09 Proceedings of the 3rd International Conference on Combinatorial Optimization and Applications
Graphical properties of easily localizable sensor networks
Wireless Networks
Topology control in constant rate mobile ad hoc networks
Wireless Networks
On minimum power connectivity problems
Journal of Discrete Algorithms
On minimum power connectivity problems
ESA'07 Proceedings of the 15th annual European conference on Algorithms
Multiobjective K-connected deployment and power assignment in WSNs using constraint handling
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Deploying sensor networks with guaranteed fault tolerance
IEEE/ACM Transactions on Networking (TON)
On minimizing the total power of k-strongly connected wireless networks
Wireless Networks
APPROX/RANDOM'10 Proceedings of the 13th international conference on Approximation, and 14 the International conference on Randomization, and combinatorial optimization: algorithms and techniques
Fault-tolerant routing: k-inconnected many-to-one routing in wireless networks
Theoretical Computer Science
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part I
Research on the fault tolerance deployment in sensor networks
GCC'05 Proceedings of the 4th international conference on Grid and Cooperative Computing
Power optimization for connectivity problems
IPCO'05 Proceedings of the 11th international conference on Integer Programming and Combinatorial Optimization
Range augmentation problems in static ad-hoc wireless networks
SIROCCO'05 Proceedings of the 12th international conference on Structural Information and Communication Complexity
On the monitoring period for fault-tolerant sensor networks
LADC'05 Proceedings of the Second Latin-American conference on Dependable Computing
Isomerism multiple-path routing algorithm of intelligent terminals
ICIC'13 Proceedings of the 9th international conference on Intelligent Computing Theories and Technology
Construction of low weighted and fault-tolerant topology for wireless ad hoc and sensor network
International Journal of Sensor Networks
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In ad hoc wireless networks, it is crucial to minimize power consumption while maintaining key network properties. This work studies power assignments of wireless devices that minimize power while maintaining k-fault tolerance. Specifically, we require all links established by this power setting be symmetric and form a k-vertex connected subgraph of the network graph. This problem is known to be NP-hard. We show current heuristic approaches can use arbitrarily more power than the optimal solution. Hence, we seek approximation algorithms for this problem. We present three approximation algorithms. The first algorithm gives an O(ka) approximation where a is the best approximation factor for the related problem in wired networks (the best a so far is in O(log k).) Then, using a more complicated algorithm and careful analysis, we achieve O(k) approximation for general graphs. We then present simple and practical distributed approximation algorithms for the cases of 2- and 3-connectivity in geometric graphs. In addition, we demonstrate how we can generalize this algorithm for k-connectivity in geometric graphs. Finally, we show that these approximation algorithms compare favorably with existing heuristics. We note that all algorithms presented in this paper can be used to minimize power while maintaining k-edge connectivity with guaranteed approximation factors.