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Introduction to Graph Theory

General data

Course ID: 0600-MS1-2ZTG
Erasmus code / ISCED: 11.104 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (unknown)
Course title: Introduction to Graph Theory
Name in Polish: Wprowadzenie do teorii grafów
Organizational unit: (in Polish) Instytut Matematyki.
Course groups:
ECTS credit allocation (and other scores): (not available) Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.

view allocation of credits
Language: Polish
Type of course:

obligatory courses

Mode:

(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:

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

This course is not currently offered.
Course descriptions are protected by copyright.
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