#
FI:PB165 Graphs and networks - Course Information

## PB165 Graphs and networks

**Faculty of Informatics**

Autumn 2015

**Extent and Intensity**- 2/0. 2 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
**Teacher(s)**- prof. RNDr. Luděk Matyska, CSc. (lecturer)

doc. RNDr. Eva Hladká, Ph.D. (lecturer)

doc. Mgr. Hana Rudová, Ph.D. (lecturer)

RNDr. Vít Rusňák, Ph.D. (assistant) **Guaranteed by**- doc. RNDr. Eva Hladká, Ph.D.

Department of Computer Systems and Communications - Faculty of Informatics

Supplier department: Department of Computer Systems and Communications - Faculty of Informatics **Timetable**- Thu 12:00–13:50 A318
**Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with**- there are 19 fields of study the course is directly associated with, display
**Course objectives**- The lecture provides basic information about graphs and graph algorithms, used in the computer networks. Special emphasis is taken to present planning and scheduling as specific graph problems, as well as the load distribution problem in distributed systems.

Graduate will be able to explain several graph algorithms and their use in computer systems and networks.

Graduate will be able to analyze particular problem and transform it into appropriate graph representation.

Graduate will be further able to analyze and solve simple scheduling and planning problems.

Graduate will be able to solve simple graph problems.

Graduate will be able to interpret computer network behavior in terms of graph theory. **Syllabus**- Graph and computer networks, trees, root trees, binary trees.
- Graph searching. Spanning tree algorithms. Shortest path.
- Planning and scheduling problems and their graph representation.
- Project scheduling and critical path method.
- Graph colouring and timetabling.
- Data transfer planning.
- List scheduling, mapping heuristics, clustering.
- Load balancing.
- Switching and routing algorithms, GMS networks planning, peer to peer networks.
- P2P networks, problem od adding and deleting node, routing.
- Graphs for modeling and simulation Internet type networks.
- Network Coding.

**Literature**- Kocay, William. Graphs, algorithms, and optimization. Chapman \& Hall/CRC Press, 2005.
- GIBBONS, Alan.
*Algorithmic graph theory*. Cambridge: Cambridge University Press, 1994. ix, 259. ISBN 0521288819. info - PLESNÍK, Ján.
*Grafové algoritmy*. 1. vyd. Bratislava: Veda, 1983. 343 s. info - PINEDO, Michael.
*Planning and Scheduling in Manufacturing and Services*. : Springer, 2005. Springer Series in Operations Research. info

**Teaching methods**- Standard lecture, no drills, no homeworks. Lectures include exercises.
**Assessment methods**- Midterm written exam, this result is 20% of the final evaluation. Final written exam (9 questions, 100 points) is 80% of the final evaluation. Evaluation is A 100%-90%, B 89%-80%, C 79%-70%, D 69%-60%, E 59%-55%.
**Language of instruction**- Czech
**Further Comments**- Study Materials

The course is taught annually.

- Enrolment Statistics (Autumn 2015, recent)
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