Introduction to Graph Theory

obowiązkowe

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

Course profile: academic

Form of study: stationary

Course type: obligatory

Academic discipline: science and natural science, 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

1) R. J. Wilson, Introduction to graph theory, Pearson, 2010

2) R. Diestel, Graph Theory, Springer Verlag, 2000

Learning outcomes:

Knows fundamental notions of the Graph Theory; can give examples illustrating various types of graphs he was tought about.

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.

Knows basic applications of graph theory in finding (in practice) a shortest path in various examples.

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

KA6_WG01, KA6_WG03, KA6_WG04, KA6_WG02, KA6_UK01, KA6_UK02, KA6_UW02, KA6_UW03, KA6_UW06, KA6_UW18, KA6_UK03, KA6_WK01, KA6_UW15, KA6_KK01, KA6_UU01, KA6_KK02

The overall form of credit for the course: test