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Introduction to Graph Theory

General data

Course ID: 0600-MS1-2ZTG Erasmus code / ISCED: 11.104 / (unknown)
Course title: Introduction to Graph Theory Name in Polish: Wprowadzenie do teorii grafów
Department: (in Polish) Zakład Dydaktyki i Nowoczesnych Technologii w Kształceniu
Course groups: (in Polish) 2 rok 1 stopnia sem. zimowy Matematyka spec. Teoretyczna
(in Polish) 3L stac. I st. studia matematyki - przedmioty obowiązkowe
ECTS credit allocation (and other scores): 4.00
view allocation of credits
Language: Polish
Type of course:

obligatory courses


(in Polish) w sali

Short description:

Course objectives: A student will acquire knowledge in rudiments of graph theory. He will also get basic information on applications of the theory.

Full description:

Course profile: academic

Form of study: stationary

Course type: obligatory

Academic discipline: Mathematics, field of study in the arts and science: mathematics

Year: 2, semester: 3

Prerequisities: Combinatorics

lecture 15 h. exercise class 30 h.

Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups.

ECTS credits: 4

Balance of student workload:

attending lectures15x1h = 15h

attending exercise classes 7x4h + 2h(preliminary teaching) = 30h

preparation for classes 7x3h = 21h

completing notes after exercises and lectures 9x2h = 18h

consultations 5x1h = 5h

final work: preparation and take 10h + 2h = 12h

Quantitative description

Direct interaction with the teacher: 53 h., 2 ECTS

Practical exercises: 74 h., 4 ECTS

Bibliography: (in Polish)

Literatura obowiązkowa:

R. J. Wilson, Wprowadzenie do teorii grafów, PWN Warszawa 1998,

N. Deo, Teoria grafów i jej zastosowania w technice i informatyce, PWN Warszawa 1980

Literatura uzupełniająca:

R. Diestel, Graph Theory, Springer Verlag, 2000

Learning outcomes:

Learning outcomes:

Knows fundamental notions of the Graph Theory; can give examples illustrating various types of graphs he was tought about.K_W02, K_W04, K_W05, K_W06, K_U01, K_U02, K_U03, K_U06, K_U11, K_U29, K_U36

Knows the notions of a path, cycle, Euler graph, and Hamilton graph. He also knows theorems associated with problems where these graphs appeared (the Euler, the Ore, and the Dirac Theorems) and can apply these theorems to concrete graphs and classes of graphs.K_W02, K_W04, K_W05, K_W06, K_U01, K_U02, K_U03, K_U06, K_U11, K_U29, K_U36

Knows basic applications of graph theory in finding (in practice) a shortest path in various examples.K_W01, K_W02, K_W03, K_W05, K_W06, K_U01, K_U02, K_U03, K_U06, K_U11, K_U25, K_U29, K_U36

Learns methodological bases for the applying graph theory in everyday problems and solving its elementary problems.K_K01, K_K02, K_K07

Assessment methods and assessment criteria:

The overall form of credit for the course: test

Classes in period "Academic year 2017/2018" (in progress)

Time span: 2017-10-01 - 2018-06-30
Choosen plan division:

see course schedule
Type of class: Class, 30 hours more information
Lecture, 30 hours more information
Coordinators: Krzysztof Belina-Prażmowski-Kryński
Group instructors: Krzysztof Belina-Prażmowski-Kryński
Students list: (inaccessible to you)
Examination: Grading
Course descriptions are protected by copyright.
Copyright by University of Bialystok.