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arxiv: 1005.0765 · v1 · submitted 2010-05-05 · 💻 cs.DM · math.CO

Watching Systems in graphs: an extension of Identifying Codes

classification 💻 cs.DM math.CO
keywords watchinggraphssystemsboundcodesgiveidentifyingresults
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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.

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