Universität Wien
Warning! The directory is not yet complete and will be amended until the beginning of the term.

250059 VO Combinatorics (2019S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Register/Deregister for this course

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Combinatorics, in its simplest form, deals with the enumeration of
elements of a finite set. The most frequent basic combinatorial objects
are permutations, rearrangements, lattice paths, trees and graphs.
The appeal of combinatorics comes from the fact that there is no uniform
approach for the treatment of the different problems, but many different
methods, each of which providing a conceptual approach to a particular
type of problem, respectively shedding light on these problems from different
angles. The fact that there are no limitations on imagination in
combinatorics has given a boost to this area in the past.
In particular, the interrelations to other areas, such as theory of
finite groups, representation theory, commutative algebra, algebraic
geometry, computer science, and statistical physics, became more and more
important.
This course will build on the material of the course
"Diskrete Mathematik". Some topics from there will be treated here
in a more profound manner, and there will be new topics,
to be precise:
1. Combinatorial structures and their generating functions
2. P\'olya theory and the enumeration of objects with symmetries
3. Combinatorial theory of partially ordered sets
4. Methods for asymptotic enumeration

Reading list:

Books to be recommended are:
P. Flajolet, R. Sedgewick, "Analytic Combinatorics", Cambridge
University Press, 2009.
P. J. Cameron, "Combinatorics", Cambridge University Press, 1994.
R. P. Stanley, "Enumerative Combinatorics", Vol. 1, Wadsworth \&
Brooks/Cole, 1986.
D. Stanton und D. White, "Constructive Combinatorics",
Springer-Verlag, 1986.

  • Monday 04.03. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 05.03. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 11.03. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 18.03. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.03. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.03. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 26.03. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 01.04. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 02.04. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 08.04. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.04. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 29.04. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 30.04. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 06.05. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.05. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.05. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.05. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.05. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.05. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.05. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.05. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 03.06. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.06. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 17.06. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.06. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 24.06. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.06. 11:30 - 13:00 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Assessment and permitted materials

Exam at the end of the semester

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MALK

Last modified: Mo 07.09.2020 15:40