COURSE UNIT TITLE

: GRAPH THEORY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 4051 GRAPH THEORY ELECTIVE 4 0 0 7

Offered By

Mathematics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR ASLI GÜÇLÜKAN ILHAN

Offered to

Mathematics (Evening)
Mathematics

Course Objective

This course introduces students to the study of graph theory as a tool representing connections between data in a variety of other fields to show how graph theory and its algorithms can be used to solve problems in mathematics and elsewhere.

Learning Outcomes of the Course Unit

1   To be able to comprehendbasic notions of graph
2   To be able to use Euler, Hamilton and planar graphs
3   To be able to identify tree structures
4   To be able to implement graph theoretical algorithms
5   To be able to construct graphs in a variety of problems

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 What is graph Examples of problems, models and definitions.
2 Graph theory terminology.
3 Isomorhic graphs. Bipartite graphs.
4 Trees and Forests.
5 Spanning tree algorithms.
6 Euler paths. Hamilton paths and cycles.
7 Planar graphs. Non-planar graphs.
8 Mid-term Exam.
9 Independence and covering.
10 Connections and Obstractions
11 Vertex coloring.
12 Edge coloring.
13 Matching theory for Bipartite graphs and applications.
14 Cycle-free digarphs. Network flow theory and flow problems wiyh Lower bounds.

Recomended or Required Reading

Textbook:
1) Graph Theory: A problem oriented approach, Daniel A. Marcus, 2008, Mathematical Association of America, ISBN 0883857723.

Supplementary Book(s):
1. Introduction to Graph Theory, Robin J. Wilson, 5th edition, 2010, Pearson, ISBN: 97800273728894
2. Discrete and Combinatorial Mathematics, R. Grimaldi 5th ed. ISBN 9780201726343.
3. Discrete Mathematics and its applications, K. Rosen 6th ed. ISBN 9780073229720.

References:
1.Introduction to Graph Theory, Douglas B. West, 2nd ed. 2001, Pentice Hall. Pub. ISBN 0-13-014400-2.

Planned Learning Activities and Teaching Methods

Face to face and presentation

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 QUZ QUIZ
3 FIN FINAL EXAM
4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + QUZ * 0.10 + FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + QUZ * 0.10 + RST * 0.50


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Asst. Prof.Dr. Aslı Güçlükan Ilhan
e-mail: asli.ilhan@deu.edu.tr
Tel: +90 232 3018593

Office Hours

TBA

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Preparations before/after weekly lectures 14 3 42
Preparation for midterm exam 1 25 25
Preparation for final exam 1 35 35
Preparation for quiz etc. 2 5 10
Final 1 1 1
Midterm 1 1 1
Quiz etc. 2 1 2
TOTAL WORKLOAD (hours) 172

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.1544
LO.25434344
LO.35434344
LO.454434344
LO.55433444

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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