Research Output per year

# Organization profile

### Profile Information

The research at the institute focuses on a variety of topics in combinatorics, graph theory, combinatorial optimization, stochastic models, geometric group theory and non-commutative probability. Complementing our work in pure mathematics, we model, analyse and solve structural and algorithmic problems arising from mathematics, theoretical computer science and natural sciences as well as from applications in industry.
More details can be found on the individual websites of the four research groups of the institute:
* Combinatorics
* Combinatorial Optimization
* Structure Theory and Stochastics
* Noncommutative Structures
The institute is one of the five mathematical institutes of the Faculty of Technical Mathematics and Technical Physics at Graz University of Technology. The institute takes an active part in the Mathematical Doctoral School "Discrete Mathematics" (DK plus programme funded by FWF).
Our teaching comprises service courses for the engineering faculties as well as as variety of courses for the studies of Mathematics at our university.

## Fingerprint The fingerprint is based on mining the text of the scientific documents related to the associated persons. Based on that an index of weighted terms is created, which defines the key subjects of research unit

Free Probability
Mathematics

Graph in graph theory
Mathematics

Sample variance
Mathematics

Timed Automata
Mathematics

Free Group
Mathematics

Cumulants
Mathematics

Linear Representation
Mathematics

Planar Maps
Mathematics

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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Profiles

### Konstantin Andritsch

- Institute of Analysis and Number Theory (5010) - Graz University of Technology
- Institute of Discrete Mathematics (5050) - Graz University of Technology

Person

## Research Output 1968 2019

### Subcritical random hypergraphs, high-order components, and hypertrees

Cooley, O. J. N., Fang, W., Del Giudice, N. & Kang, M. 2019*Proceedings of Analytic Algorithmics and Combinatorics (ANALCO19).*

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

### A Kernel for Multi-Parameter Persistent Homology

Corbet, R., Fugacci, U., Kerber, M., Landi, C. & Wang, B. 26 Sep 2018 (Submitted) In : arXiv.org e-Print archive. 22 p.Research output: Contribution to journal › Article

### A phase transition on the evolution of bootstrap processes in inhomogeneous random graphs

Fountoulakis, N., Kang, M., Koch, C. J. & Makai, T. 2018 In : The annals of applied probability. 28, 2, p. 990-1051Research output: Contribution to journal › Article

## Activities 1978 2018

### Dragon Applied Topology Conference, Swansea 11-14 September 2018.

Gutierrez Sanchez, A. (Participant)2018

Activity: Conference or symposium (Participation in/Organisation of)

### Enric Ventura Capell

Amnon Rosenmann (Host)6 Feb 2018 → 12 Feb 2018

Activity: Hosting an academic visitor

### 23rd International Conference, CIAA 2018, Charlottetown, PE, Canada, July 30 – August 2, 2018, Proceedings (Implementation and Application of Automata) (Event)

Gutierrez Sanchez, A. (Peer reviewer)2018

Activity: Peer review of manuscripts

## Prizes

gold

## Projects 1995 2021

### FWF - Cores - Random Graphs: Cores, Colourings and Contagion

1/09/18 → 30/08/21

Project: Research project

### FWF - AAAGT - Asymptotic Aspects and Automata in Group Theory

1/05/17 → 30/04/20

Project: Research project

### FWF - Diameters - Random Recursive Structure of Small Diameters

1/03/16 → 31/05/20

Project: Research project