Abstract
This paper examines the exploration of a weighted graph by two mobile agents, where the energy cost of traversing an edge is equal to the edge weight. Agents located at the same position (potentially on an edge) can freely transfer energy, but one agent may unpredictably crash and cease operation. Two settings are considered: asynchronous, with no bound on the relative speed of the agents, and synchronous, with synchronized clocks and equal speeds. The study focuses ring networks and investigates the conditions for complete edge exploration based on the initial energy levels of the agents.
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References
Czyzowicz, J., Diks, K., Moussi, J., Rytter, W.: Communication problems for mobile agents exchanging energy. In: Suomela, J. (ed.) SIROCCO 2016. LNCS, vol. 9988, pp. 275–288. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-48314-6_18
Czyzowicz, J., et al.: Graph exploration by energy-sharing mobile agents. In: Jurdziński, T., Schmid, S. (eds.) SIROCCO 2021. LNCS, vol. 12810, pp. 185–203. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-79527-6_11
Sun, X., Kitamura, N., Izumi, T., Masuzawa, T.: Circulating exploration of an arbitrary graph by energy-sharing agents. In: Proceedings of the 2023 IEICE General Conference, pp. 1–2 (2023)
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Bramas, Q., Masuzawa, T., Tixeuil, S. (2023). Brief Announcement: Crash-Tolerant Exploration by Energy Sharing Mobile Agents. In: Dolev, S., Schieber, B. (eds) Stabilization, Safety, and Security of Distributed Systems. SSS 2023. Lecture Notes in Computer Science, vol 14310. Springer, Cham. https://doi.org/10.1007/978-3-031-44274-2_28
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DOI: https://doi.org/10.1007/978-3-031-44274-2_28
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