Week 1: |
Reading: Notes
on Stable Marriages by Kevin Wayne |
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Wednesday, January 10th |
Introduction. Stable
marriages.
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Friday, January 12th |
Stable marriages continued.
Review of basics of Graph Theory. Notes
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Week 2: |
Reading: Notes
on Hall's theorem and some applications by Allen Van
Gelder |
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Wednesday, January 17th |
Matchings in bipartite
graphs. Hall's theorem. |
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Friday, January
19th |
Edge
coloring bipartite graphs.
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Week 3: |
Reading: Notes
on Matching markets by David Easley and Jon
Kleinberg |
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Wednesday,
January 24th |
Vertex covers, Konig's
theorem
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Friday, January
26th |
Matching
markets.
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Week 4: |
Reading: For planar
graphs: Matousek and Nesetril, Chapter 5. For the art
gallery problem: Aigner and Ziegler, Chapter 26. |
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Wednesday, January
31st |
Planar graphs: Euler's
Formula, platonic solids.
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Friday, February
2nd |
The 5-color theorem; the
Art Gallery problem.
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Week 5: |
Reading: Notes
on Fary's theorem by Will Evans. For Graph minors
and Kuratowksi's theorem see pages 35, 40-43 of these
notes. |
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Wednesday,
February 7th
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Fary's theorem, Graph
Minors, Hadwiger's conjecture.
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Friday, February
9th
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Kuratowski's theorem,
Menger's Theorem.
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Week 6: |
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Wednesday, February
14th |
Discrete probability: quiz;
introduction.
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Friday,
February 16th |
MIDTERM |
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