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Maximum Covering Formulation for Open Locating Dominating Sets

In: Operations Research Proceedings 2016

Author

Listed:
  • Blair Sweigart

    (College of William & Mary)

  • Rex Kincaid

    (College of William & Mary)

Abstract

As a result of specific constructs and features, many graphs do not admit OLD-sets. We extend the traditional OLD-set definition by relaxing the dominating property. Instead of requiring all nodes to be covered by an OLD-set, we seek what we call a maximum covering OLD-set. Every graph has a maximum covering OLD-set. Furthermore, maximum covering OLD-sets allow an exploration of the tradeoff between the number of sensors placed and the number of nodes covered.

Suggested Citation

  • Blair Sweigart & Rex Kincaid, 2018. "Maximum Covering Formulation for Open Locating Dominating Sets," Operations Research Proceedings, in: Andreas Fink & Armin Fügenschuh & Martin Josef Geiger (ed.), Operations Research Proceedings 2016, pages 259-264, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-55702-1_35
    DOI: 10.1007/978-3-319-55702-1_35
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