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.