• Whole document: [1-483] (std · pr4 · pr1 · lec)
  • Part 1. Organizational Matters [2-10] (std · pr4 · pr1 · lec)
    1. Contents [8-8]
    2. Literatur [9-10]
  • Part 2. Linear Programming [11-258] (std · pr4 · pr1 · lec)
    1. Introduction to Linear Programming [12-52] (std · pr4 · pr1 · lec)
    2. Simplex Algorithm [53-76] (std · pr4 · pr1 · lec)
    3. Duality [77-116] (std · pr4 · pr1 · lec)
      1. Weak Duality [77-81] (std · pr4 · pr1 · lec)
      2. Simplex and Duality [82-84] (std · pr4 · pr1 · lec)
      3. Strong Duality [85-102] (std · pr4 · pr1 · lec)
      4. Interpretation of Dual Variables [103-109] (std · pr4 · pr1 · lec)
      5. Computing Duals [110-116] (std · pr4 · pr1 · lec)
    4. Degeneracy Revisited [117-132] (std · pr4 · pr1 · lec)
    5. Klee Minty Cube [133-147] (std · pr4 · pr1 · lec)
    6. Seidels LP-algorithm [148-166] (std · pr4 · pr1 · lec)
    7. The Ellipsoid Algorithm [167-217] (std · pr4 · pr1 · lec)
    8. Karmarkars Algorithm [218-258] (std · pr4 · pr1 · lec)
  • Part 3. Approximation Algorithms [259-483] (std · pr4 · pr1 · lec)
    1. Introduction to Approximation [260-275] (std · pr4 · pr1 · lec)
    2. Integer Programs [276-289] (std · pr4 · pr1 · lec)
    3. Basic Techniques [290-316] (std · pr4 · pr1 · lec)
      1. Deterministic Rounding [290-293]
      2. Rounding the Dual [294-298]
      3. Primal Dual Technique [299-300]
      4. Greedy [301-306]
      5. Randomized Rounding [307-316]
    4. Scheduling on Identical Machines [317-330] (std · pr4 · pr1 · lec)
      1. Local Search [317-324]
      2. Greedy [325-330]
    5. Rounding Data + Dynamic Programming [331-377] (std · pr4 · pr1 · lec)
      1. Knapsack [331-335]
      2. Scheduling Revisited [336-348]
      3. Bin Packing [349-358]
      4. Advanced Rounding for Bin Packing [359-377]
    6. Randomized Rounding [378-414] (std · pr4 · pr1 · lec)
      1. MAXSAT [378-399]
      2. MAXCUT [400-414]
    7. Primal Dual Techniques [415-448] (std · pr4 · pr1 · lec)
      1. Primal Dual Revisited [415-421]
      2. Feedback Vertex Set for Undirected Graphs [422-429]
      3. Primal Dual for Shortest Path [430-436]
      4. Steiner Forest [437-448]
    8. Hardness of Approximation [449-483] (std · pr4 · pr1 · lec)