To introduce students to new techniques, methods and results from the rapidly-developing field of algorithms. Typical topics include randomised algorithms, graph algorithms, matrix algorithms and counting algorithms. The module will be research-led, so exact topics will vary from year to year.
Students will be able to understand a variety of advanced algorithmic techniques, use recently-developed algorithmic techniques to solve problems, and understand the state of the art in some areas of algorithmic research, including new developments and open problems.
- Basic parallel computation models: circuits, comparison networks. Parallel merging and sorting by comparison networks.
- Advanced parallel computation models: PRAM, BSP.
- Fundamental parallel algorithms: total exchange, broadcast/combine, prefix sums, butterfly, grid.
- Further parallel algorithms: list and tree contraction, sorting, convex hull
- Parallel matrix algorithms: matrix-vector multiplication, matrix multiplication, triangular system solution, Gaussian elimination.
- Parallel graph algorithms: algebraic paths, all-pairs shortest paths, minimum spanning tree.
Content in previous years.
- Sorting, selection, etc.
- Search trees, skip lists.
- Cuts, flows, approximation algorithms for graph problems.
- Online algorithms.