• DOI:10.4230/LIPIcs.DISC.2018.9
Corpus ID: 44166477

Almost Global Problems in the LOCAL Model

@inproceedings{Balliu2018AlmostGP,
  title={Almost Global Problems in the LOCAL Model},
  author={Alkida Balliu and S. Brandt and Dennis Olivetti and Jukka Suomela},
  booktitle={DISC},
  year={2018}
}

Alkida Balliu, S. Brandt, +1 author Jukka Suomela

Published in DISC 2018

Computer Science, Mathematics

The landscape of the distributed time complexity is nowadays well-understood for subpolynomial complexities. When we look at deterministic algorithms in the LOCAL model and locally checkable problems (LCLs) in bounded-degree graphs, the following picture emerges: - There are lots of problems with time complexities of $\Theta(\log^* n)$ or $\Theta(\log n)$. - It is not possible to have a problem with complexity between $\omega(\log^* n)$ and $o(\log n)$. - In general graphs, we can construct… CONTINUE READING

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