Linear algorithm for domatic number problem on interval graphs
Information Processing Letters
Locality in distributed graph algorithms
SIAM Journal on Computing
A simple linear time algorithm for the domatic partition problem on strongly chordal graphs
Information Processing Letters
The domatic number problem on some perfect graph families
Information Processing Letters
Regular codes in regular graphs are difficult
Discrete Mathematics
Efficient approximation algorithms for domatic partition and on-line coloring of circular arc graphs
Discrete Applied Mathematics
NP-completeness of the domatic number problem on circular arc graphs
ACM-SE 37 Proceedings of the 37th annual Southeast regional conference (CD-ROM)
Geography-informed energy conservation for Ad Hoc routing
Proceedings of the 7th annual international conference on Mobile computing and networking
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Approximating the Domatic Number
SIAM Journal on Computing
Complexity of graph covering problems
Nordic Journal of Computing
Bounded Geometries, Fractals, and Low-Distortion Embeddings
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
Triangulation and Embedding Using Small Sets of Beacons
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Maximizing the Lifetime of Dominating Sets
IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Workshop 12 - Volume 13
On the locality of bounded growth
Proceedings of the twenty-fourth annual ACM symposium on Principles of distributed computing
Fast deterministic distributed maximal independent set computation on growth-bounded graphs
DISC'05 Proceedings of the 19th international conference on Distributed Computing
A randomized distributed algorithm for the maximal independent set problem in growth-bounded graphs
Proceedings of the twenty-sixth annual ACM symposium on Principles of distributed computing
High Performance Sleep-Wake Sensor Systems Based on Cyclic Cellular Automata
IPSN '08 Proceedings of the 7th international conference on Information processing in sensor networks
Cyclic Cellular Automata: A Tool for Self-Organizing Sleep Scheduling in Sensor Networks
IPSN '08 Proceedings of the 7th international conference on Information processing in sensor networks
Self-assembling sweep-and-sleep sensor systems
ACM SIGMETRICS Performance Evaluation Review
Distributed Generation of a Family of Connected Dominating Sets in Wireless Sensor Networks
DCOSS '09 Proceedings of the 5th IEEE International Conference on Distributed Computing in Sensor Systems
WASA '09 Proceedings of the 4th International Conference on Wireless Algorithms, Systems, and Applications
Approximation Algorithms for Domatic Partitions of Unit Disk Graphs
APPROX '09 / RANDOM '09 Proceedings of the 12th International Workshop and 13th International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
Local approximation algorithms for scheduling problems in sensor networks
ALGOSENSORS'07 Proceedings of the 3rd international conference on Algorithmic aspects of wireless sensor networks
Algorithms for sensor and ad hoc networks: advanced lectures
Algorithms for sensor and ad hoc networks: advanced lectures
Optimal network locality in distributed virtualized data-centers
Computer Communications
DCOSS'10 Proceedings of the 6th IEEE international conference on Distributed Computing in Sensor Systems
Constructing efficient rotating backbones in wireless sensor networks using graph coloring
Computer Communications
Randomized algorithms and probabilistic analysis in wireless networking
SAGA'07 Proceedings of the 4th international conference on Stochastic Algorithms: foundations and applications
The algorithmic complexity of k-domatic partition of graphs
TCS'12 Proceedings of the 7th IFIP TC 1/WG 202 international conference on Theoretical Computer Science
Dynamic topology construction of wireless sensor network using computational geometric approach
International Journal of Sensor Networks
Connected dominating set algorithms for wireless sensor networks
International Journal of Sensor Networks
Domatic partition in homogeneous wireless sensor networks
Journal of Network and Computer Applications
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Using a dominating set as a coordinator in wireless networks has been proposed in many papers as an energy conservation technique. Since the nodes in a dominating set have the extra burden of coordination, energy resources in such nodes will drain out more quickly than in other nodes. To maximize the lifetime of nodes in the network,it has been proposed that the role of coordinators be rotated among the nodes in the network. One abstraction that has been considered for the problem of picking a collection of coordinators and cycling through them, is the domatic partition problem. This is the problem of partitioning the set of the nodes of the network into dominating sets with the aim of maximizing the number of dominating sets. In this paper,we consider the k -domatic partition problem. A k -dominating set is a subset D of nodes such that every node in the network is at distance at most k from D. The k-domatic partition problem seeks to partition the network into maximum number of k-dominating sets.We point out that from the point of view of saving energy,it may be better to construct a k-domatic partition for k 1.We present three deterministic, distributed algorithms for finding large k-domatic partitions for k 1. Each of our algorithms constructs a k-domatic partition of size at least a constant fraction of the largest possible (k 1)-domatic partition. Our first algorithm runs in constant time on unit ball graphs (UBGs) in Euclidean space assuming that all nodes know their positions in a global coordinate system. Our second algorithm drops knowledge of global coordinates and instead assumes that pairwise distances between neighboring nodes are known. This algorithm runs in O(log* n ) time on UBGs in a metric space with constant doubling dimension. Our third algorithm drops all reliance on geometric information, using connectivity information only. This algorithm runs in O(log Δ · log *n) time on growth-bounded graphs. Euclidean UBGs, UBGs in metric spaces with constant doubling dimension, and growth-bounded graphs are successively more general models of wireless networks and all three models include the well-known, but somewhat simplistic wireless network models such as unit disk graphs.