Independent Set on P_k-Free Graphs in Quasi-Polynomial Time

Independent Set on P_k-Free Graphs in Quasi-Polynomial Time

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

Actual Algorithm

14 of 19

14 of 19

Actual Algorithm

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Independent Set on P_k-Free Graphs in Quasi-Polynomial Time

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  1. 1 Intro
  2. 2 Problem Definition
  3. 3 Independent Set One of Karp's 21 NP-complete problems
  4. 4 Independent Set is Hard
  5. 5 Known Polynomial Time classes
  6. 6 Known Results Beyond polyomial time
  7. 7 Our Results
  8. 8 All remaining cases in P?
  9. 9 Algorithm in a nutshell
  10. 10 Running time?
  11. 11 Balanced Separator Lemma
  12. 12 How to achieve goal?
  13. 13 Collecting Balanced Separators
  14. 14 Actual Algorithm
  15. 15 (Not So) Updated Goal
  16. 16 Branchable Vertex
  17. 17 Main Lemma
  18. 18 Upper bound on level sets
  19. 19 Putting it Together

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