SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Combinatorial and Computational Geometry 2 - NDMI013
Title: Kombinatorická a výpočetní geometrie 2
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: summer
E-Credits: 5
Hours per week, examination: summer s.:2/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Additional information:
Guarantor: doc. RNDr. Pavel Valtr, Dr.
doc. Mgr. Jan Kynčl, Ph.D.
Class: Informatika Mgr. - Diskrétní modely a algoritmy
Kombinatorická geometrie a geom. algorit
M Mgr. MSTR > Povinně volitelné
Classification: Informatics > Discrete Mathematics
Is incompatible with: NGEM029, NDMX013
Is interchangeable with: NDMX013, NGEM029
Annotation -
Last update: T_KAM (07.05.2001)
Continuation of DMI009. The contents of this course varies over the years; usually several topics in discrete and computational geometry are covered in more depth.
Aim of the course -
Last update: doc. Mgr. Robert Šámal, Ph.D. (20.12.2021)

This lecture is NOT BEING TAUGHT in the summer term 2021/22.

Continuation and deeper study of the topics from NDMI009. In the covered topics, the level of the current research is usually reached.

Course completion requirements -
Last update: doc. Mgr. Jan Kynčl, Ph.D. (14.02.2018)

The credit for the exercise is given after obtaining at least 1/4 points for solving the school and home problems. Bonus problems may be assigned in order to help gain some points. The nature of the conditions do not allow repeated attempts for obtaining the credit. Obtaining the credit is necessary before the exam.

Literature -
Last update: doc. RNDr. Martin Balko, Ph.D. (25.02.2016)

see and NDMI009

Teaching methods -
Last update: doc. Mgr. Jan Kynčl, Ph.D. (24.02.2016)

The exercises consist in individual solving of problems assigned during the semester. More information:

Requirements to the exam -
Last update: doc. Mgr. Jan Kynčl, Ph.D. (29.04.2020)

The material required for the exam will be the same as taught in the lecture. The exam may include easier or moderately difficult problems from these topics. The exam has oral form. Depending on the current situation, the exam can also be in a distance form.

Syllabus -
Last update: doc. Mgr. Jan Kynčl, Ph.D. (23.04.2019)

The topics may be different every year. The plan for 2019/2020 is the following:

Convexly independent subsets

Halving lines

Complexity of the lower envelope of segments, Davenport–Schinzel sequences

Fractional Helly theorem, colorful Caratheodory theorem, Tverberg theorem

Possibly other topics

Registration requirements -
Last update: doc. Mgr. Jan Kynčl, Ph.D. (08.12.2021)

The course will typically be taught once in two years.

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