Check back here weekly as we go along, ...
Last updated on Thursday Jan 16, 2003
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Week 1: Jan 14, 16 |
- Topics: Review of NP-Completeness and Proof Techniques
- Reading Assignments:
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Week 2: Jan 21, 23 |
- Topics: Linear Programming, including
- geometry, Farkas' lemma, strong duality
- complexity
- interior-point algorithms
- ellipsoid algorithm and optimization vs. separation
- extension to conic programming
- Reading Assignments:
- Chapters 1-9, 16, 17, 18, Chvatal's book.
- A tutorial on linear algebra.
You do not have to read the section on eigenvalues.
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Week 3: Jan 28, 30 |
- Topics and Readings: Same as last week
- Jan 28 - Homework 1 out
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Week 4: Feb 04, 06 |
- Topics and Readings: Same as last week
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Week 5: Feb 11, 13 |
- Topics: Network Flows, including
- maximum flows, min-cost flows
- cycle cancelling algorithms
- strongly polynomial-time analysis
- minimum cuts without flows
- Reading Assignments:
- Chapters 19-23 Chvatals' book.
- Feb 13 - Homework 1 due, Homework 2 out
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Week 6: Feb 18, 20 |
- Topics and Readings: Same as last week
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Week 7: Feb 25, 27 |
- Topics and Readings: Same as last week
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Week 8: Mar 04, 06 |
- Finishing touch on linear programming and network flows, and Review
for midterm exam.
- Mar 04 - Homework 2 due.
- Midterm exam: Mar 06
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Week 9: Mar 11, 13 |
- No class for this week: Spring Break
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Week 10: Mar 18, 20 |
- Topics: Approximation Algorithms.
- limits to approximability
- basic techniques and vertex cover
- primal-dual technique
- semidefinite programming
- multicommodity cut via embedding metric spaces
- approximation scheme for Euclidean TSP.
- Reading Assignments:
- Mar 18 - Homework 3 out
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Week 11: Mar 25, 27 |
- Topics and Readings: Same as last week.
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Week 12: Apr 01, 03 |
- Topics and Readings: Same as last week.
- Apr 03 - Homework 3 due, Homework 4 out
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Week 13: Apr 08, 10 |
- Topics and Readings: Same as last week.
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Week 14: Apr 15, 17 |
- Topics and Readings: Same as last week.
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Week 15: Apr 22, 24 |
- Topics and Readings: Same as last week.
- Apr 24 - Homework 4 due
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Final Exam Week: May 01--08 |
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