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  7. IMT4781 Design and Analysis of Algorithms

Design and Analysis of Algorithms
2009-2010 - IMT4781 - 5 ECTS

On the basis of

IMT2021 Algorithmic Methods or equivalent

Expected learning outcomes

Specification of the concept of algorithm and analysis of its computational complexity. Design principles of algorithms and their application to computing problems. Topics include theory of NP-completeness, analysis techniques, and the main design principles such as divide-and-conquer, dynamic programming, branch-and-bound. Heap data structure and advanced binary search trees are also studied. Approximation, randomized and optimization techniques are considered for finding suboptimal solutions to NP-complete problems. These include local search, genetic algorithms and swarm intelligence.

On completion of this course the students will be able to:

  • Design algorithms for difficult problems
  • Analyze and understand their complexity
  • Implement the algorithms in practice

Topic(s)

• Complexity theory
• Data structures and graph theory
• Greedy algorithms
• Divide and conquer
• Dynamic programming
• NP completeness
• Approximation algorithms
• Meta-heuristics

Teaching Methods

Lectures
Laboratory work
Net Support Learning
Exercises
Meeting(s)/Seminar(s)

Form(s) of Assessment

Written exam, 3 hours
Exercises

Form(s) of Assessment (additional text)

Exam (75%), Practical work (25%) based on 1 exercise

Grading Scale

Alphabetical Scale, A(best) – F (fail)

External/internal examiner

One internal and one external examiner

Re-sit examination

Ordinary re-sit for the written exam

Examination support

None

Teaching Materials

Reference book:

  • Jon Kleinberg and Eva Tardos: Algorithm Design , Pearson International Edition, 2006.

Additional textbooks and lecture materials:

  • T. Cormen, C. Leiserson and R. Rivest: Introduction to Algorithms , MIT Press, 2nd edition 2001
  • Levitin, A. V.: The design and analysis of algorithm , Addison Wesley, 2007
  • E. Horowitz, S. Sahni and S. Rajasekaran: Computer Algorithms , W. H. Freeman Press, 1997.

Additional information

CIMET.

Practical Laboratory Sessions : The student should be allowed to use the programming language he/she prefers (provided the language can handle usual data structures). Examples can be C++, C, Java, etc.