2011
DOI: 10.1007/978-3-642-17679-1_6
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Deterministic Dominating Set Construction in Networks with Bounded Degree

Abstract: Abstract. This paper considers the problem of calculating dominating sets in networks with bounded degree. In these networks, the maximal degree of any node is bounded by Δ, which is usually significantly smaller than n, the total number of nodes in the system. Such networks arise in various settings of wireless and peer-to-peer communication. A trivial approach of choosing all nodes into the dominating set yields an algorithm with the approximation ratio of Δ + 1. We show that any deterministic algorithm with… Show more

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Cited by 4 publications
(3 citation statements)
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“…Another example of the supported models is related to the classical dominating set problem. The dominating set algorithm by Friedman and Kogan [5] consists of two phases: symmetry breaking (distance-2 coloring) and optimization (greedy). In the supported model we can solve both phases with a local algorithm-in essence, we can pre-compute a distance-2 coloring of the underlying network G, which provides an appropriate coloring of the subgraph H as well.…”
Section: Symmetry Breakingmentioning
confidence: 99%
“…Another example of the supported models is related to the classical dominating set problem. The dominating set algorithm by Friedman and Kogan [5] consists of two phases: symmetry breaking (distance-2 coloring) and optimization (greedy). In the supported model we can solve both phases with a local algorithm-in essence, we can pre-compute a distance-2 coloring of the underlying network G, which provides an appropriate coloring of the subgraph H as well.…”
Section: Symmetry Breakingmentioning
confidence: 99%
“…Clustering has been widely studied and adopted in ad hoc networks to reduce communication cost and improve scalability in various networking and application problems. [16][17][18][19] However, making use of cluster hierarchy in dynamic networks is a challenging task. First, hierarchy makes the network architecture more complex, and it will change with the network topology changes.…”
Section: Introductionmentioning
confidence: 99%
“…Clustering has been widely studied and adopted in ad hoc networks to reduce communication cost and improve scalability in various networking and application problems. 16–19…”
Section: Introductionmentioning
confidence: 99%