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JOURNALS // Prikladnaya Diskretnaya Matematika // Archive

Prikl. Diskr. Mat., 2011 supplement № 4, Pages 90–91 (Mi pdm295)

Applied Graph Theory

On mobile agent self-location using topological properties of environment

I. S. Grunsky, S. V. Sapunov

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences, Donetsk

Abstract: The paper is dedicated to methods of distinction of vertices in labeled graphs by an automaton walking on the graph and reading vertex labels. This problem arises in the navigation of mobile robots using topological maps of the environment. We propose construction and realization methods for distinguishing experiments with deterministic graphs based on checking the isomorphism of subgraphs generated by all vertices that are accessible from compared vertices.

UDC: 519.7



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