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Thesis topic proposal
 
Study of hyperbolic networks

THESIS TOPIC PROPOSAL

Institute: Eötvös Loránd University, Budapest
physics
Doctoral School of Physics

Thesis supervisor: Gergely Palla
Location of studies (in Hungarian): Department of Biological Physics, Eötvös University
Abbreviation of location of studies: ELTE


Description of the research topic:

The research of geometric network models and the embedding of networks into metric spaces is a prosperous field of complex network theory. The key idea is to represent the network nodes as a point cloud in a metric space where the connection probability or the observed connections and the geometric distance between point pairs are in close relation. A particularly interesting case is provided by hyperbolic networks, where the curvature of the metric space is negative and the exponential growth of the space volume as a function of the radius enables the hosting of small-world networks in a very natural manner. The planned study is focusing on the actual questions of network geometry related research.

Required language skills: English
Further requirements: 
MSc in natural science or mathematics or computer science/informatics

Number of students who can be accepted: 2

Deadline for application: 2024-05-31


2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).

 
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