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.
@article{arxiv.2008.09379,
title = {Efficient Dispersion of Mobile Agents without Global Knowledge},
author = {Takahiro Shintaku and Yuichi Sudo and Hirotsugu Kakugawa and Toshimitsu Masuzawa},
journal= {arXiv preprint arXiv:2008.09379},
year = {2020}
}