SubjectsSubjects(version: 953)
Course, academic year 2023/2024
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Graphs and counting - NDMI078
Title: Grafy a počty
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2020
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Martin Loebl, CSc.
Class: Informatika Mgr. - volitelný
Classification: Informatics > Discrete Mathematics
Annotation -
Discrete enumeration with applications in both graph theory and statistical physics.
Last update: Macharová Dana, JUDr. (06.01.2009)
Course completion requirements -

Oral exam.

Last update: Kynčl Jan, doc. Mgr., Ph.D. (31.05.2019)
Literature -

Mohar, Thomassen, Graphs on surfaces, The Johns Hopkins University Press,

2001.

Stanley, Enumerative Combinatrics I, Cambridge University Press 1997.

Loebl, M.: Discrete mathematics and statistical physics; introductory

lecture

notes (připravovaná skripta)

Last update: Macharová Dana, JUDr. (06.01.2009)
Requirements to the exam -

For the main exam, the requirements correspond to the syllabus as covered by the lectures.

Last update: Kynčl Jan, doc. Mgr., Ph.D. (24.05.2019)
Syllabus -

Algebraic structure of cycles and cuts of graphs

Duality of enumeration: MacWilliams' theorem

Connections with the Ising partition function

Equivalence of basic generating functions

Algorithmic aspects

Last update: Loebl Martin, prof. RNDr., CSc. (30.12.2020)
 
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