When and where Monday 8.15-12, Bldg. 358, Room 060a
Prerequisites Undergraduate level courses in algorithms and data structures (comparable to 02105 + 02110) and mathematical maturity. You should have a working knowledge of algorithm analysis (e.g. asymptotic notation, worst case analysis, amortized analysis, basic analysis of randomized algorithms), data structures (e.g. stacks, queues, linked lists, trees, heaps, priority queues, hash tables, balanced binary search trees, tries), graph algorithms (e.g. BFS, DFS, single source shortest paths, minimum spanning trees, topological sorting), dynamic programming, divide-and-conquer, and NP-completeness (e.g. basic reductions).
Gradescope We use Gradescope for correcting and scoring exercises. The system significantly improves consistency and quality in correcting. Please sign up for Gradescope as follows:
3Y8JXN, your full name, your
@student.dtu.dkemail, and your student-id (of the form
s123456). Please follow these instructions precisely so that we can correctly identify you.
The weekplan is preliminary It will be updated during the course. Under each week there is a number of suggestions for reading material regarding that weeks lecture. It is not the intention that you read ALL of the papers. It is a list of papers and notes where you can read about the subject discussed at the lecture. When available we also post screencasts of lectures. These were recorded during the COVID-19 lockdown.
|Integer Data Structures I: Dictionaries, Universal and Perfect Hashing.||1x1 · 4x1||Hashing||
||Hashing 1 · Hashing 2 · Hashing 3|
|Integer Data Structures II: Predecessor Problem, van Emde Boas, x-Fast and y-Fast Tries||1x1 · 4x1||Predecessor||
||Predecessor 1 · Predecessor 2|
|Integer Data Structures III: Nearest Common Ancestor, Range Minimum Query||1x1 · 4x1||LCA and RMQ||
||See DTU Learn|
|Geometry: Range Reporting, Range Trees, and kD Trees||1x1 · 4x1||Range Reporting||
||Range Reporting 1 · Range Reporting 2 · Range Reporting 3|
|Trees: Level Ancestor, Path Decompositions, Tree Decompositions||1x1 · 4x1||Level Ancestor||See DTU Learn|
|Strings I: Dictionaries, Tries, Suffix trees||1x1 · 4x1||Suffix Trees||See DTU Learn|
|Strings II: Radix Sorting, Suffix Array, Suffix Sorting||1x1 · 4x1||Suffix Sorting||
||Suffix Sorting 1 · Suffix Sorting 2|
|Compression: Lempel-Ziv, Re-Pair, Grammars, Compressed Computation||1x1 · 4x1||Compression||
|Approximation Algorithms I: Introduction to approximation algorithms, scheduling and k-center.||1x1 · 4x1||Approximation Algorithms I||
||See DTU Learn|
|Approximation Algorithms II: TSP, Set cover||1x1 · 4x1||Approximation Algorithms II||
||See DTU Learn|
|Dynamic Graphs I||1x1||Dynamic Graphs I||Link-cut
trees, Sleator and Tarjan.
See also: Erik Demaine's lecture video + notes, scribe notes, and other scribe notes
See also these lecture notes by Klein and Mozes.
|Dynamic Graphs II||1x1||Dynamic Graphs II||Dynamic
out-orientations by Brodal and Fagerberg.
See also Berglin + Brodal for further reading. See also Section 5 in Christiansen + Rotenberg for a slight strengthening of the theorem.
|Course Roundup, Questions, Future Perspectives|
The course features number of non-mandatory/voluntary hand-in exercises that are posted throughout the course. These are handed in as follows. and a single mandatory hand-in exercise. The voluntary exercises are posted frequently throughout the course and the mandatory exercise is posted towards the end of the course.
Use the template.tex file to prepare your write up your solution to the exercises. Do not repeat the problem statement in your solutions and do not modify the template. Compile your solutions using LaTeX. The maximum size of the finished pdf must be at most 2 pages. To submit your solution:
The course features a single mandatory exercise that is posted towards the end of the course. The exercise is hand-in according to the same guidelines as the non-mandatory/voluntary hand-in exercises, except that the page limit may be different.
Collaboration policy for the mandatory exercise
How should I write my exercises? The ideal writing format for exercises is classical scientific writing, such as the writing found in the peer-reviewed articles listed as reading material for this course (not textbooks and other pedagogical material). One of the objectives of this course is to practice and learn this kind of writing. A few tips:
How much do the mandatory exercise count in the final grade? The final grade is an overall evaluation of your mandatory exercise and the oral exam combined. Thus, there is no precise division of these part in the final grade. However, expect that (in most cases, and under normal circumstances) the mandatory exercises account for a non-trivial fraction of the final grade.
What do I do if I want to do a MSc/BSc thesis or project in Algorithms? Great! Algorithms is an excellent topic to work on :-) and Algorithms for Massive Data Sets is designed to prepare you to write a strong thesis. Some basic tips and points.