Discrete Mathematics - Topics on domination
Approximation schemes for covering and packing problems in image processing and VLSI
Journal of the ACM (JACM)
A survey of approximately optimal solutions to some covering and packing problems
ACM Computing Surveys (CSUR)
NC-approximation schemes for NP- and PSPACE-hard problems for geometric graphs
Journal of Algorithms
The broadcast storm problem in a mobile ad hoc network
MobiCom '99 Proceedings of the 5th annual ACM/IEEE international conference on Mobile computing and networking
An energy consumption model for performance analysis of routing protocols for mobile ad hoc networks
Mobile Networks and Applications
Comparison of broadcasting techniques for mobile ad hoc networks
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
Multipoint Relaying for Flooding Broadcast Messages in Mobile Wireless Networks
HICSS '02 Proceedings of the 35th Annual Hawaii International Conference on System Sciences (HICSS'02)-Volume 9 - Volume 9
Selecting forwarding neighbors in wireless ad hoc networks
Mobile Networks and Applications - Discrete algorithms and methods for mobile computing and communications
Localized Broadcast Incremental Power Protocol for Wireless Ad Hoc Networks
ISCC '05 Proceedings of the 10th IEEE Symposium on Computers and Communications
Localized algorithms for energy efficient topology in wireless ad hoc networks
Mobile Networks and Applications
Connected Dominating Sets in Wireless Networks with Different Transmission Ranges
IEEE Transactions on Mobile Computing
An energy-efficient localized topology control algorithm for wireless ad hoc and sensor networks
International Journal of Communication Systems
IEEE Transactions on Parallel and Distributed Systems
Approximation algorithms for combinatorial problems
Journal of Computer and System Sciences
Localized algorithms and their applications in ad hoc wireless networks
ISPA'03 Proceedings of the 2003 international conference on Parallel and distributed processing and applications
Constant-factor approximation for minimum-weight (connected) dominating sets in unit disk graphs
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
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In this paper, we consider a practical problem, called Minimum Forwarding Set Problem (MFSP), that emerges within the context of implementing (energy efficient) communication protocols for wireless ad hoc or sensor networks. For a given node v, MFSP asks for a minimum cardinality subset of 1-hop neighbors of v to cover v's 2-hop neighbors. MFSP problem is also known as multi-point relay (MPR) problem. It is shown to be an NP-complete problem for its general case that does not consider the coverage characteristics of wireless transmissions. In this paper, we present two polynomial time algorithms to solve the MFSP problem under disk coverage model for wireless transmissions. In our earlier work, we presented a polynomial time algorithm for this problem under unit disk coverage model. In the current work, we present several observations on the geometric characteristics of wireless transmissions under disk coverage model and build two alternative dynamic programming based solutions with different run time and space complexities to the problem. Disk coverage model is a more general model because it allows nodes to use arbitrary power levels for transmissions. As a result, the presented algorithms provide a more practical solution that can be used as a building block for energy efficient communication protocols designed for wireless ad hoc and sensor networks.