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arXiv · 2008.09379

Efficient Dispersion of Mobile Agents without Global Knowledge

Takahiro Shintaku·Yuichi Sudo·Hirotsugu Kakugawa·Toshimitsu Masuzawa
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Abstract

We consider the dispersion problem for mobile agents. Initially, k agents are located at arbitrary nodes in an undirected graph. Agents can migrate from node to node via an edge in the graph synchronously. Our goal is to let the k agents be located at different k nodes with minimizing the number of steps before dispersion is completed and the working memory space used by the agents. Kshemkalyani and Ali [ICDCN, 2019] present a fast and space-efficient dispersion algorithm with the assumption that each agent has global knowledge such as the number of edges and the maximum degree of a graph. In this paper, we present a dispersion algorithm that does not require such global knowledge but keeps the asymptotically same running time and slightly smaller memory space.

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Takahiro Shintaku, Yuichi Sudo, Hirotsugu Kakugawa, Toshimitsu Masuzawa. 2020-08-21. Efficient Dispersion of Mobile Agents without Global Knowledge. https://arxiv.org/abs/2008.09379

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