The students in this course were required to take turns scribing lecture notes. They were provided with detailed instructions and a template. The process of scribing lecture notes provides students with valuable experience preparing mathematical documents, and also generates a useful set of lecture notes for the class.
Notes are used with the permission of the student scribes.
LEC # | TOPICS | LECTURE NOTES |
---|---|---|
1 | Fibonacci heaps | (PDF) |
2 | Network flows | (PDF) |
3 | Maximum flow; minimum cost circulation | (PDF) |
4 | Goldberg-Tarjan min-cost circulation algorithm | (PDF) |
5 | Cancel-and-tighten algorithm; binary search trees | (PDF) |
6 | Splay trees | (PDF) |
7 | Dynamic trees (part 1) | (PDF) |
8 | Dynamic trees (part 2) | (PDF) |
9 | Linear programming (LP) | (PDF) |
10 | LP: duality, geometry, simplex | (PDF) |
11 | LP: complexity; introduction to the ellipsoid algorithm | (PDF) |
12 | LP: ellipsoid algorithm | (PDF) |
13 | LP: applications of the ellipsoid algorithm | Notes not available |
14 | Conic programming I | (PDF) |
15 | Conic programming II | (PDF) |
16 | Approximation algorithms | (PDF) |
17 | Approximation algorithms (facility location) | (PDF) |
18 | Approximation algorithms (max-cut) | (PDF) |
19 | Max-cut and sparsest-cut | (PDF) |
20 | Multi-commodity flows and metric embeddings | Notes not available |
21 | Convex hulls | Notes not available |
22 | Convex hulls and fixed dimension LP | (PDF) |
23 | Voronoi diagrams | (PDF) |
24 | Approximation scheme for the Euclidean traveling salesman problem | Notes not available |
25 | Streaming algorithms | Notes not available |
26 | Streaming algorithms (cont.) | Notes not available |