MATH 566 - Discrete Optimization

Schedule

This is a log of what was actually done.
  1. Aug 22 Syllabus, What is linear programming and few small examples. Notes Diet in APmonitor
  2. Aug 24 Graphically solving linear program and basic definitions Notes Ropes in APmonitor
  3. Aug 26 Guest Lecture by Jan Foniok about trains and platforms

  4. Aug 29 Introduction to Duality of LP Notes
  5. Aug 31 Interpretation of Duality Notes Separation Theorem Notes
  6. Sep 2 no class

  7. Sep 5 Labour day
  8. Sep 7 Graph Theory Review (by Kacy) Notes
  9. Sep 9 more Graph Theory

  10. Sep 12 Farkas Lemma Notes
  11. Sep 14 Consequences of Duality Notes
  12. Sep 16 Simplex Method Notes

  13. Sep 19 Klee-Minty Cube and Ellipsoid Method Notes
  14. Sep 21 Interior Point Methods Notes
  15. Sep 23 Minimum Spanning Tree Notes

  16. Sep 26 Minimum Spanning Tree
  17. Sep 28 Shortest Path Notes
  18. Sep 30 Shortest Path

  19. Oct 3 Shortest Path and linear programming Notes
  20. Oct 5 Network Flows - first introduction Notes
  21. Oct 7 Network Flows

  22. Oct 10 Network Flows - first algorithm Notes
  23. Oct 12 Network Flows - faster algorithms Notes
  24. Oct 14 Network Flows

  25. Oct 17 no class
  26. Oct 19 no class
  27. Oct 21 no class

  28. Oct 24 Minimum cut
  29. Oct 26 Gomory-Hu trees Notes
  30. Oct 28 Gomory-Hu trees

  31. Oct 31 Phylogenetics Trees - Guest lecture by
  32. Nov 2 Minimum Cost Flow Notes
  33. Nov 4 Minimum Mean Cycle Notes

  34. Nov 7 Integer Programming - Unimodular Matrices Notes
  35. Nov 9 Integer Programming - More Unimodular Matrices
  36. Nov 11 Integer Programming - Branch and Bound Notes

  37. Nov 14 Integer Programming - Cutting Planes Notes
  38. Nov 16 Matching Edmonds Notes
  39. Nov 18 Matching

  40. Nov 21 Thanks giving
  41. Nov 23 Thanks giving
  42. Nov 25 Thanks giving

  43. Nov 28 Minimum-cost perfect matching in bipartite graph Notes
  44. Nov 30 Goemans-Williamson 1 Notes
  45. Dec 2 Goemans-Williamson 2

  46. Dec 5 TSP Notes
  47. Dec 7 no class
  48. Dec 9 SDP and Max-cut (starts 8:00am) Notes Notes

  49. Dec 12 (7:30am-9:30am) Final Exam