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Learn · Computational Complexity

Lecture 46 of 63Week 9

Search Bipartite Perfect Matching is in RNC: Part 2

Prof. Subrahmanyam Kalyanasundaram · IIT Hyderabad

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Computational Complexity, IIT Hyderabad (at NPTEL)
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
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All the lectures

  1. Introduction to Computational Complexity YouTube
  2. The Class P YouTube
  3. The Class NP YouTube
  4. The Class NP - Alternate Definition YouTube
  5. Polynomial Time Reductions YouTube
  6. NP - Completeness YouTube
  7. Cook Levin Theorem: Part 1 YouTube
  8. Cook Levin Theorem: Part 2 YouTube
  9. More NP Complete Problems YouTube
  10. Polynomial Hierarchy: Part 1 YouTube
  11. Polynomial Hierarchy: Part 2 YouTube
  12. Polynomial Hierarchy: Part 3 YouTube
  13. Time Hierarchy Theorem YouTube
  14. Introduction to Space Complexity YouTube
  15. NL-Completeness YouTube
  16. Savitch's Theorem YouTube
  17. NL = co-NL: Part 1 YouTube
  18. NL = co-NL: Part 2 YouTube
  19. PSPACE Completeness YouTube
  20. Games and PSPACE Completeness YouTube
  21. Space Hierarchy Theorem YouTube
  22. Ladner's Theorem YouTube
  23. Oracle Turing Machines YouTube
  24. Polynomial Hierarchy Using Oracles YouTube
  25. Baker-Gill-Solovay Theorem: Part 1 YouTube
  26. Baker-Gill-Solovay Theorem: Part 2 YouTube
  27. Randomized Complexity Classes: Part 1 YouTube
  28. Randomized Complexity Classes: Part 2 YouTube
  29. Randomized Complexity Classes: Part 3 YouTube
  30. Randomized Complexity Classes: Part 4 YouTube
  31. Comparison Between Randomized Complexity Classes YouTube
  32. BPP is in Polynomial Hierarchy YouTube
  33. Circuit Complexity: Part 1 YouTube
  34. Circuit Complexity: Part 2 YouTube
  35. Formal Definition of Circuits YouTube
  36. Hierarchy Theorem for Circuit Size YouTube
  37. Complexity Class : P/Poly YouTube
  38. Karp-Lipton Theorem YouTube
  39. Turing Machines That Take Advice YouTube
  40. Classes NC and AC YouTube
  41. Parity Not in AC0: Part 1 YouTube
  42. Parity Not in AC0: Part 2 YouTube
  43. Adleman's Theorem YouTube
  44. Polynomial Identity Testing and Bipartite Perfect Matching in RNC YouTube
  45. Search Bipartite Perfect Matching is in RNC: Part 1 YouTube
  46. Search Bipartite Perfect Matching is in RNC: Part 2 YouTube
  47. Promise Problems and Valiant-Vazirani Theorem YouTube
  48. Valiant Vazirani Theorem Continued YouTube
  49. #P and the Complexity of Counting YouTube
  50. Permanent is #P-Complete: Part 1 YouTube
  51. Permanent is #P-Complete: Part 2 YouTube
  52. Toda's Theorem: Part 1 YouTube
  53. Toda's Theorem: Part 2 YouTube
  54. Introduction to Communication Complexity: Part 1 YouTube
  55. Introduction to Communication Complexity: Part 2 YouTube
  56. Lower Bound Techniques YouTube
  57. Communication Complexity of Relations YouTube
  58. Monotone Depth Lower Bound for Matching YouTube
  59. Interactive Proofs YouTube
  60. #3SAT is in IP YouTube
  61. Public Coin Interactive Proofs and AM/MA YouTube
  62. Simulating Private Coins using Public Coins YouTube
  63. Summary and Concluding Remarks YouTube