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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
GRAPH THEORY END611 - 3 + 0 10

TYPE OF COURSE UNITCompulsory Course
LEVEL OF COURSE UNITDoctorate Of Science
YEAR OF STUDY-
SEMESTER-
NUMBER OF ECTS CREDITS ALLOCATED10
NAME OF LECTURER(S)Professor İmdat Kara
LEARNING OUTCOMES OF THE COURSE UNIT At the end of this course, the students;
1) Formulate Industrial Engineering problems as network flow problem
2) Define the most widely studied network flow problems such as shortest path, minimum spanning tree
3) Create mathematical models of network flow problems
4) Explain the variety of techniques to solve network optimization problems
MODE OF DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITIONFlow problems on the network, transportation and assignment problems. Special-purpose algorithms and advanced computing techniques. Maximum flow problem, the theory, algorithms and its applications. Shortest path algorithm, network simplex method. Traveling salesman problem and its extensions.
COURSE CONTENTS
WEEKTOPICS
1st Week Scientific Development and Graph Theory
2nd Week Basic Concept and Initial Generalities
3rd Week Edge, Path, Circuit, and special networks
4th Week Euler path, Euler network
5th Week Operations on networks
6th Week Directional Networks
7th Week Hamiltonian path and Hamiltonian tour
8th Week Midterm
9th Week Trees
10th Week Bipartite networks
11th Week Matching Problems
12th Week Relationship Matrices in Networks
13th Week Network Flow Models
14th Week Applications
RECOMENDED OR REQUIRED READINGDers Notları.
F.Buckley, M.Lewinter, A friendly Introduction to Graph Theory, PEARSON EDUCATION, INC, New Jersey, 2003.
Tero Harju, Lecture Notes on Graph Theory, University of Turku, Finland, 2012.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODSLecture,Questions/Answers,Presentation,Practice,Problem Solving
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term130
Assignment315
Project110
Attendance15
Total(%)60
Contribution of In-term Studies to Overall Grade(%)60
Contribution of Final Examination to Overall Grade(%)40
Total(%)100
ECTS WORKLOAD
Activities Number Hours Workload
Midterm exam122
Preparation for Quiz
Individual or group work1411154
Preparation for Final exam12525
Course hours14342
Preparation for Midterm exam12525
Laboratory (including preparation)
Final exam122
Homework41456
Total Workload306
Total Workload / 3010,2
ECTS Credits of the Course10
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
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