Watching systems in graphs: An extension of identifying codes

  • Authors:
  • David Auger;IrèNe Charon;Olivier Hudry;Antoine Lobstein

  • Affiliations:
  • -;-;-;-

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2013

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Abstract

We introduce the notion of watching systems in graphs, which is a generalization of that of identifying codes. We give some basic properties of watching systems, an upper bound on the minimum size of a watching system, and results on the graphs which achieve this bound; we also study the cases of the paths and cycles, and give complexity results.