CDS in Unit Ball Graphs and Growth Bounded Graphs

Ding-Zhu Du and Peng-Jun Wan
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Ding-Zhu Du: University of Texas, Dallas
Peng-Jun Wan: Illinois Institute of Technology

Chapter Chapter 4 in Connected Dominating Set: Theory and Applications, 2013, pp 63-75 from Springer

Abstract: Abstract In a mountain area or underwater [1, 131], environment is often not flat. In such a situation, deployed sensors would form a three-dimensional wireless sensor network, which has a mathematical model, the unit ball graph. A unit ball graph consists of vertices lying in the three-dimensional Euclidean space. There exists an edge between two vertices u and v if and only if the distance between them, d(u, v) is at most one.

Keywords: Unit Ball Graphs; Three-dimensional Wireless Sensor Networks; Three-dimensional Euclidean Space; Growth-bounded Graphs; Newton Gregory Problem (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-5242-3_4

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