Algorithms in Graph Theory (3 ECTS)

Learning outcomes

Often we would like to travel from one place to another. If we are by car, then TomTom will help us. If we send a mail, then routers will help us. Algorithms in Graph theory will do the work.

In this course we will look at concepts of Graph Theory to understand the algorithms, so we can apply them in IT.
• Know and understand the concepts of Graph Theory.
• Know and understand the Dijkstra, Posa, Bellman-Ford, and Balanced Graph algorithms.
• Implement these algorithms in IT.

Content

1 Foundations
2 Extentsions
3 Networktraversal
4 Trees
5 Social Networks

Prerequisites

Students must have basic knowledge of programming.

Teaching methods

In each sessions theoretical concepts will be introduced. These concepts will be applied in exercises. The algorithms will be implemented in a program.

Learning materials and recommended literature

An Introduction to Graph Theory and Complex Networks, by Maarten van Steen 2010

Content scheduling

Session 1: Foundations Chapter 2: not paragraph 2.1.2, 2.2.2, 2.3 ( only page 2-22 until 2-28 )
Exercises page 195 : 7, 8
LAB exercise: make a program, that can store and print a graph

Session 2: Extensions
Chapter 3: not paragraph 3.1.2 ( only page 3-9 until 3-11 )
Exercises page B-12: 3, 4, 5, 6
LAB exercise: implement the Dijkstra algorithm at page 3-14

Session 3: Network traversal
Chapter 4: not paragraph 4.2.3
Exercises page 197: 15, 17
Page 50: 1a, b
LAB exercise: implement the Posa algorithm at page 4-21

Session 4: Trees Chapter 5: not 5.4.3
Exercises page 214: 5
page 215: 9, 10, 11, 12
LAB exercise: implement the Bellman-Ford algorithm at paragraph 5.4.2

Session 5: Social Networks Chapter 9: only paragraph 9.1.1, 9.1.2, 9.2.2
Exercise 14 exam 2019
LAB exercise: implement the Balanced graphs algorithm at page 9-23

Assessment methods and criteria

All exercises will have to be made, the code must be submitted and a small report with explanation should be written and handed in. Approval for all assignments by the teacher will be necessary to obtain the 3 ECTS.

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

All exercises will have to be made, the code must be submitted and a small report with explanation should be written and handed in. Approval for all assignments by the teacher will be necessary to obtain the 3 ECTS.

Assessment criteria, good (3)

-

Assessment criteria, excellent (5)

-

Assessment criteria, approved/failed

All exercises will have to be made, the code must be submitted and a small report with explanation should be written and handed in. Approval for all assignments by the teacher will be necessary to obtain the 3 ECTS.