CombLimit | Limit Theory in Combinatorics

Summary
Graph limit theory is a new and important field, motivated by large real-life networks such as the internet, the nervous system, traffic networks, social networks, interaction graphs of proteins, etc. Sparse graph limit theory is a direction partially inspired by these applications. This is a new and intensively studied field, and one of the two main topics of the research proposed. Local algorithms or constant-time distributed algorithms is an important tool for sparse graph limit theory, and this is in the focus of the proposed research. It is also useful to understand stochastic processes and phase transitions in large networks, and it is strongly related to ergodic theory.
The applicant very recently demonstrated through some examples that the tools of limit theory can be very useful in solving combinatorial problems as well. This observation opened the door for plenty of new applications, which are also in the focus of the proposed research.
With the proposed CombLimit initiative the applicant would complement the research agenda of the Rényi Institute, and he would also be an important link connecting pure mathematics with its applications in computer science, economics, physics and biology. Upon completion of the CombLimit MSCA program, the applicant will have a good basis for successfully applying a tenured/permanent position at Rényi Institute.
Unfold all
/
Fold all
More information & hyperlinks
Web resources: https://cordis.europa.eu/project/id/750857
Start date: 01-03-2017
End date: 28-02-2019
Total budget - Public funding: 134 239,20 Euro - 134 239,00 Euro
Cordis data

Original description

Graph limit theory is a new and important field, motivated by large real-life networks such as the internet, the nervous system, traffic networks, social networks, interaction graphs of proteins, etc. Sparse graph limit theory is a direction partially inspired by these applications. This is a new and intensively studied field, and one of the two main topics of the research proposed. Local algorithms or constant-time distributed algorithms is an important tool for sparse graph limit theory, and this is in the focus of the proposed research. It is also useful to understand stochastic processes and phase transitions in large networks, and it is strongly related to ergodic theory.
The applicant very recently demonstrated through some examples that the tools of limit theory can be very useful in solving combinatorial problems as well. This observation opened the door for plenty of new applications, which are also in the focus of the proposed research.
With the proposed CombLimit initiative the applicant would complement the research agenda of the Rényi Institute, and he would also be an important link connecting pure mathematics with its applications in computer science, economics, physics and biology. Upon completion of the CombLimit MSCA program, the applicant will have a good basis for successfully applying a tenured/permanent position at Rényi Institute.

Status

CLOSED

Call topic

MSCA-IF-2016

Update Date

28-04-2024
Images
No images available.
Geographical location(s)
Structured mapping
Unfold all
/
Fold all
Horizon 2020
H2020-EU.1. EXCELLENT SCIENCE
H2020-EU.1.3. EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions (MSCA)
H2020-EU.1.3.2. Nurturing excellence by means of cross-border and cross-sector mobility
H2020-MSCA-IF-2016
MSCA-IF-2016