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CDS in Unit Ball Graphs and Growth Bounded Graphs

In: Connected Dominating Set: Theory and Applications

Author

Listed:
  • Ding-Zhu Du

    (University of Texas, Dallas)

  • Peng-Jun Wan

    (Illinois Institute of Technology)

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.

Suggested Citation

  • Ding-Zhu Du & Peng-Jun Wan, 2013. "CDS in Unit Ball Graphs and Growth Bounded Graphs," Springer Optimization and Its Applications, in: Connected Dominating Set: Theory and Applications, edition 127, chapter 0, pages 63-75, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-5242-3_4
    DOI: 10.1007/978-1-4614-5242-3_4
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