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arXiv · 2311.01511

Dispersion, Capacitated Nodes, and the Power of a Trusted Shepherd

William K. Moses Jr.·Amanda Redlich
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Abstract

In this paper, we look at and expand the problems of dispersion and Byzantine dispersion of mobile robots on a graph, introduced by Augustine and Moses~Jr.~[ICDCN~2018] and by Molla, Mondal, and Moses~Jr.~[ALGOSENSORS~2020], respectively, to graphs where nodes have variable capacities. We use the idea of a single shepherd, a more powerful robot that will never act in a Byzantine manner, to achieve fast Byzantine dispersion, even when other robots may be strong Byzantine in nature. We also show the benefit of a shepherd for dispersion on capacitated graphs when no Byzantine robots are present.

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William K. Moses Jr., Amanda Redlich. 2023-11-02. Dispersion, Capacitated Nodes, and the Power of a Trusted Shepherd. https://arxiv.org/abs/2311.01511

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