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arXiv · 2108.02655

Sinkless Orientation Made Simple

Alkida Balliu·Janne H. Korhonen·Fabian Kuhn·Henrik Lievonen·Dennis Olivetti·Shreyas Pai·Ami Paz·Joel Rybicki·Stefan Schmid·Jan Studený·Jukka Suomela·Jara Uitto
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Abstract

The sinkless orientation problem plays a key role in understanding the foundations of distributed computing. The problem can be used to separate two fundamental models of distributed graph algorithms, LOCAL and SLOCAL: the locality of sinkless orientation is $\Omega(\log n)$ in the deterministic LOCAL model and $O(\log \log n)$ in the deterministic SLOCAL model. Both of these results are known by prior work, but here we give new simple, self-contained proofs for them.

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Alkida Balliu, Janne H. Korhonen, Fabian Kuhn, Henrik Lievonen, Dennis Olivetti, Shreyas Pai, Ami Paz, Joel Rybicki, Stefan Schmid, Jan Studený, Jukka Suomela, Jara Uitto. 2021-08-05. Sinkless Orientation Made Simple. https://arxiv.org/abs/2108.02655

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