Undergraduate
Faculty of Science and Letters
Mathematics And Computer Science
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Introduction to Graph Theory

Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
MB0050 Introduction to Graph Theory 2/2/0 DE Turkish 5
Course Goals
To teach the basics and application areas of Graph Theory
Prerequisite(s) Course Code Course Name…
Corequisite(s) Course Code Course Name…
Special Requisite(s) The minimum qualifications that are expected from the students who want to attend the course.(Examples: Foreign language level, attendance, known theoretical pre-qualifications, etc.)
Instructor(s) Assist. Prof. Dr. Nurşah Mutlu Varlıoğlu
Course Assistant(s)
Schedule Monday 11:00-12:50, 1st Floor C Cor. Classrooms 4-6, Friday 09:00-10:50, 3rd Floor C Cor. Classrooms 8-10
Office Hour(s) Wednesday, 11:00-13:00
Teaching Methods and Techniques -
Principle Sources -  Emrah Akyar, Çizge Kuramına (Graf Teorisine) Giriş, Seçkin Akademik Yayınlar, 2021.


- Douglas B. West, Introduction to Graph Theory, Prentice Hall, 2001

2.    - Kenneth H. Rosen, Ayrık Matematik ve Uygulamaları, 7. Baskıdan Çeviri, Prof. Dr. Ömer Akın, Prof. Dr. Murat Özbayoğlu, Palme Yayıncılık Ankara, 2015

Other Sources -
Course Schedules
Week Contents Learning Methods
1. Week Basic definitions and notations about graph theory Oral and written expression
2. Week Some special graphs Oral and written expression
3. Week Isomorphic graphs and graph operations Oral and written expression
4. Week Isomorphic graphs and graph operations Oral and written expression
5. Week Euler graphs Oral and written expression
6. Week Hamiltonian graphs Oral and written expression
7. Week Problems with graph theory Oral and written expression
8. Week Midterm Exam
9. Week Matrix representations of graphs Oral and written expression
10. Week Matrix representations of graphs Oral and written expression
11. Week Trees Oral and written expression
12. Week Trees Oral and written expression
13. Week Planar graphs Oral and written expression
14. Week Planar graphs Oral and written expression
15. Week Final exams
16. Week Final exam
17. Week Final exam
Assessments
Evaluation tools Quantity Weight(%)
Midterm(s) 1 40
Final Exam 1 60


Program Outcomes
PO-1Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7Using time effectively in inventing solutions by implementing analytical thinking.
PO-8Understanding professional ethics and responsibilities.
PO-9Having the ability to behave independently, to take initiative, and to be creative.
PO-10Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11Using professional knowledge for the benefit of the society.
Learning Outcomes
LO-1Knows the Graph Concept
LO-2Has the necessary knowledge about Euler and Hamilton Graphs
LO-3Knows Basic Graph Algorithms
LO-4Has basic knowledge of Planar Graphs
LO-5Learns Matrix representations of graphs
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix
 PO 1PO 2PO 3PO 4PO 5PO 6PO 7PO 8PO 9PO 10PO 11
LO 1
LO 2
LO 3
LO 4
LO 5