Watching Systems in graphs: an extension of Identifying Codes

Computer Science – Discrete Mathematics

Scientific paper

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Scientific paper

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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