Complexity Theory (ΠΛ1)

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General

School School of Science
Academic Unit Department of Mathematics
Level of Studies Graduate
Course Code ΠΛ1
Semester 1
Course Title Complexity Theory
Independent Teaching Activities Lectures (Weekly Teaching Hours: 3, Credits: 7.5)
Course Type Elective
Prerequisite Courses -
Language of Instruction and Examinations

Greek

Is the Course Offered to Erasmus Students Yes (in English)
Course Website (URL) See eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes

This course aims at introducing to students the concepts of time and space complexities for solving difficult problems. After successfully passing this course the students will be able to:

  • Understand complexity classes.
  • Push further techniques for solving difficult problems.
  • Understand difficult problems by using reductions.
General Competences
  • Search for, analysis and synthesis of data and information, with the use of the necessary technology
  • Working independently
  • Team work
  • Project planning and management

Syllabus

  • ΝΡ and Computational Intractibility
  • The class of PSPACE
  • Extending the limits of tractability
  • Approximation Algorithms
  • Local search.
  • Randomized algorithms

Teaching and Learning Methods - Evaluation

Delivery

Lectures

Use of Information and Communications Technology

Use of projector and interactive board during lectures.

Teaching Methods
Activity Semester Workload
Lectures 39
Working independently 78
Exercises - Homework 70.5
Course total 187.5
Student Performance Evaluation
  • Written work (50%).
  • Essay / report (20%).
  • Public presentation (30%).

Attached Bibliography

  • Computational Complexity, Christos Papadimitriou.
  • Computers and Intractability, M. R. Garey and D. S. Johnson.
  • J. Kleinberg and E. Tardos, Σχεδιασμός Αλγορίθμων, ελληνική έκδοση, Εκδόσεις Κλειδάριθμος, 2008
  • T. Cormen, C. Leiserson, R. Rivest, and C. Stein, Εισαγωγή στους Αλγορίθμους, ελληνική έκδοση, Πανεπιστημιακές Εκδόσεις Κρήτης, 2012.