Distributed Lower Bounds for Ruling Sets

Distributed Lower Bounds for Ruling Sets

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

State of the art (deterministic)

4 of 15

4 of 15

State of the art (deterministic)

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Distributed Lower Bounds for Ruling Sets

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  1. 1 Intro
  2. 2 (2, 1)-ruling set = MIS
  3. 3 (a, b)-ruling set
  4. 4 State of the art (deterministic)
  5. 5 Our results (deterministic)
  6. 6 Our results (deterministic, on trees)
  7. 7 Our results (randomized)
  8. 8 Technique: Round Elimination
  9. 9 How we use Round Elimination
  10. 10 Upper bounds for ruling sets
  11. 11 Upper bound problem family: example
  12. 12 Upper bound sequence
  13. 13 Color reduction: big picture
  14. 14 From upper bound to lower bound
  15. 15 Open questions

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