A fast and simple randomized parallel algorithm for the maximal independent set problem
Journal of Algorithms
A simple parallel algorithm for the maximal independent set problem
SIAM Journal on Computing
On sparse spanners of weighted graphs
Discrete & Computational Geometry
A threshold of ln n for approximating set cover
Journal of the ACM (JACM)
Primal-Dual RNC Approximation Algorithms for Set Cover and Covering Integer Programs
SIAM Journal on Computing
On the hardness of approximating minimization problems
Journal of the ACM (JACM)
Non-approximability results for optimization problems on bounded degree instances
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Message-optimal connected dominating sets in mobile ad hoc networks
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
Approximating minimum size weakly-connected dominating sets for clustering mobile ad hoc networks
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
Topology control and routing in ad hoc networks: a survey
ACM SIGACT News
Lectures on Discrete Geometry
Constant-time distributed dominating set approximation
Proceedings of the twenty-second annual symposium on Principles of distributed computing
End-to-end packet-scheduling in wireless ad-hoc networks
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Efficient gathering of correlated data in sensor networks
Proceedings of the 6th ACM international symposium on Mobile ad hoc networking and computing
Constant density spanners for wireless ad-hoc networks
Proceedings of the seventeenth annual ACM symposium on Parallelism in algorithms and architectures
A Distributed Approach to Node Clustering in Decentralized Peer-to-Peer Networks
IEEE Transactions on Parallel and Distributed Systems
MSWiM '05 Proceedings of the 8th ACM international symposium on Modeling, analysis and simulation of wireless and mobile systems
The price of being near-sighted
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Localized Protocols for Ad Hoc Clustering and Backbone Formation: A Performance Comparison
IEEE Transactions on Parallel and Distributed Systems
Constant-time distributed dominating set approximation
Distributed Computing
Virtual Backbone Construction in MANETs Using Adjustable Transmission Ranges
IEEE Transactions on Mobile Computing
Clustering wireless ad hoc networks with weakly connected dominating set
Journal of Parallel and Distributed Computing
Backbone construction in selfish wireless networks
Proceedings of the 2007 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Distributed algorithms for connected domination in wireless networks
Journal of Parallel and Distributed Computing
Distributed almost exact approximations for minor-closed families
ESA'06 Proceedings of the 14th conference on Annual European Symposium - Volume 14
Efficient gathering of correlated data in sensor networks
ACM Transactions on Sensor Networks (TOSN)
A unified framework for cluster manager election and clustering mechanism in mobile ad hoc networks
Computer Standards & Interfaces
Proceedings of the 9th ACM international symposium on Mobile ad hoc networking and computing
Simulation-Based Performance Comparison of VANETs Backbone Formation Algorithms
DS-RT '08 Proceedings of the 2008 12th IEEE/ACM International Symposium on Distributed Simulation and Real-Time Applications
A self-stabilizing algorithm for constructing weakly connected minimal dominating sets
Information Processing Letters
Discrete Applied Mathematics
Randomised algorithms for finding small weakly-connected dominating sets of regular graphs
CIAC'03 Proceedings of the 5th Italian conference on Algorithms and complexity
Algorithms for sensor and ad hoc networks: advanced lectures
Algorithms for sensor and ad hoc networks: advanced lectures
Distributed fault tolerant computation of weakly connected dominating set in ad hoc networks
The Journal of Supercomputing
Distributed approximation algorithms for planar graphs
CIAC'06 Proceedings of the 6th Italian conference on Algorithms and Complexity
Distributed approximation algorithms in unit-disk graphs
DISC'06 Proceedings of the 20th international conference on Distributed Computing
Constructing weakly connected dominating set for secure clustering in distributed sensor network
Journal of Combinatorial Optimization
Adaptive clustering with virtual subnets support in ad hoc networks
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Distributed clustering algorithm for finding virtual backbone in ad hoc networks
ICDCIT'05 Proceedings of the Second international conference on Distributed Computing and Internet Technology
Distributed approximations for packing in unit-disk graphs
DISC'07 Proceedings of the 21st international conference on Distributed Computing
Hi-index | 0.00 |
Motivated by routing issues in ad hoc networks, we present polylogarithmic-time distributed algorithms for two problems. Given a network, we first show how to compute connected and weakly connected dominating sets whose size is at most O(logΔ) times optimal, Δ being the maximum degree of the input network. This is best-possible if NP ⊈ DTIME[nO(log log n)] and if the processors are limited to polynomial-time computation. We then show how to construct dominating sets which satisfy the above properties, as well as the "low stretch" property that any two adjacent nodes in the network have their dominators at a distance of at most O(log n) in the network. (Given a dominating set S, a dominator of a vertex u is any v ∊ S such that the distance between u and v is at most one.) We also show our time bounds to be essentially optimal.