We consider the problem of graph exploration by energy sharing mobile agents that are subject to crash faults. More precisely, we consider a team of two agents where at most one of them may fail unpredictably, and the considered topology is that of connected acyclic graphs (i.e. trees). We consider both the asynchronous and the synchronous settings, and we provide necessary and sufficient conditions about the energy.
@InProceedings{bramas_et_al:LIPIcs.OPODIS.2024.9, author = {Bramas, Quentin and Masuzawa, Toshimitsu and Tixeuil, S\'{e}bastien}, title = {{Crash-Tolerant Exploration of Trees by Energy-Sharing Mobile Agents}}, booktitle = {28th International Conference on Principles of Distributed Systems (OPODIS 2024)}, pages = {9:1--9:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-360-7}, ISSN = {1868-8969}, year = {2025}, volume = {324}, editor = {Bonomi, Silvia and Galletta, Letterio and Rivi\`{e}re, Etienne and Schiavoni, Valerio}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2024.9}, URN = {urn:nbn:de:0030-drops-225452}, doi = {10.4230/LIPIcs.OPODIS.2024.9}, annote = {Keywords: Mobile Agents, Distributed Algorithms, Energy sharing} }
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