2015 | OriginalPaper | Buchkapitel
Anonymous Graph Exploration with Binoculars
verfasst von : Jérémie Chalopin, Emmanuel Godard, Antoine Naudin
Erschienen in: Distributed Computing
Verlag: Springer Berlin Heidelberg
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We investigate the exploration of networks by a mobile agent. It is long known that, without global information about the graph, it is not possible to make the agent halts after the exploration except if the graph is a tree. We therefore endow the agent with
binoculars
, a sensing device that can show the local structure of the environment at a constant distance of the agent current location.
We show that, with binoculars, it is possible to explore and halt in a large class of non-tree networks. We give a complete characterization of the class of networks that can be explored using binoculars using standard notions of discrete topology. This class is much larger than the class of trees: it contains in particular chordal graphs, plane triangulations and triangulations of the projective plane. Our characterization is constructive, we present an Exploration algorithm that is universal; this algorithm explores any network explorable with binoculars, and never halts in non-explorable networks.