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Periodic points in round elimination

Round elimination is a function "re" that turns a locally verifiable graph problem P into a new graph problem P' = re(P).

Sometimes round elimination leads to a fixed point, with P = re(P), or a periodic point, e.g., P = re(re(P)). Whenever this happens to a nontrivial problem P, we immediately get a lower bound for the distributed complexity of P. This repository is a catalog of such problems P.

Directory A-B-L:

  • active degree A
  • passive degree B
  • L labels
  • these problems are periodic points

Directory A-B-L-distance-D:

  • active degree A
  • passive degree B
  • L labels
  • D steps of round elimination leads to a periodic point

References

Contact

Contributors

  • Alkida Balliu
  • Dennis Olivetti
  • Jukka Suomela

License

The content in this repository is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license: https://creativecommons.org/licenses/by-sa/4.0/

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Periodic points in round elimination

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