Teachers
When and where Monday 8.1512, Bldg. 303A, Aud. 45. The course runs in the DTU spring semester (Feb. 2 to May 13). There is no teaching during the Easter break (April 15 + April 22).
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, divideandconquer, and NPcompleteness (e.g. basic reductions).
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.
Week  Topics  Slides  Weekplan  Mandatory  Material 

Integer Data Structures I: Dictionaries, Universal and Perfect Hashing.  1x1 · 4x1  Hashing  See DTU Learn 


Integer Data Structures II: Predecessor Problem, van Emde Boas, xFast and yFast Tries  1x1 · 4x1  Predecessor 


Integer Data Structures III: Nearest Common Ancestor, Range Minimum Query  1x1 · 4x1  LCA and RMQ  TBA 


Approximation Algorithms I: Introduction to approximation algorithms, scheduling and TSP.  1x1 · 4x1  Approximation Algorithms I 


Approximation Algorithms II: kcenter  1x1 · 4x1  Approximation Algorithms II  TBA 


Trees: Level Ancestor, Path Decompositions, Tree Decompositions  1x1 · 4x1  Level Ancestor 
 
Geometry: Range Reporting, Range Trees, and kD Trees  1x1 · 4x1  Range Reporting  TBA 


Strings: Dictionaries, Tries, Suffix trees, Suffix Sorting  1x1 · 4x1  Suffix Trees 
 
Compression: LempelZiv, RePair, Grammars, Compressed Computation  1x1 · 4x1  Compression  TBA 


Persistent Data Structures I: Introduction, Partial persistence, Planar Point Location  1x1 · Example 
Persistence 
 
Distance Oracles  Distance Oracles  TBA 


Persistent Data Structures II: Full persistence, The tree coloring problem  Full persistence 
 
Course Roundup, Questions, Future Perspectives 
Use the template.tex file to prepare your hand in exercises. Do not repeat the problem statement in your hand in. Compile using LaTeX. Upload the resulting pdf file (and only this file) via DTU Learn. The maximum size of the finished pdf must be at most 2 pages. An exercise from week x must be handed in no later than Sunday in week x before 20.00.
Collaboration policy for mandatory exercises
How should I write my mandatory exercises? The ideal writing format for mandatory exercises is classical scientific writing, such as the writing found in the peerreviewed 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 exercises 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 large fraction of the final grade.
Can I write my assignments in Danish? Ja. Du er meget velkommen til at aflevere på dansk.
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.