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arXiv · 2005.07761

Efficient Load-Balancing through Distributed Token Dropping

Sebastian Brandt·Barbara Keller·Joel Rybicki·Jukka Suomela·Jara Uitto
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Abstract

We introduce a new graph problem, the token dropping game, and we show how to solve it efficiently in a distributed setting. We use the token dropping game as a tool to design an efficient distributed algorithm for stable orientations and more generally for locally optimal semi-matchings. The prior work by Czygrinow et al. (DISC 2012) finds a stable orientation in $O(\Delta^5)$ rounds in graphs of maximum degree $\Delta$, while we improve it to $O(\Delta^4)$ and also prove a lower bound of $\Omega(\Delta)$.

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Sebastian Brandt, Barbara Keller, Joel Rybicki, Jukka Suomela, Jara Uitto. 2020-05-15. Efficient Load-Balancing through Distributed Token Dropping. https://arxiv.org/abs/2005.07761

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