Complex networks are a powerful tool for studying a wide range of real-world complex systems, including social, biological and physical systems. Understanding the structure of such networks can help uncovering fundamental mechanisms driving systems behavior. In particular, detection of network clusters can help identify relevant system structures and identifying hubs can pinpoint important entities of the system. In this project, we develop methods for analyzing complex networks and apply these to model real-world systems. We study static undirected and directed networks, dynamical processes on such networks and networks that change in time. 

Publications

2024
Clustering Time-Evolving Networks Using the Dynamic Graph Laplacian 2024 (under review) Maia Trower, Natasa Djurdjevac Conrad, Stefan Klus BibTeX
arXiv
Complex Networks
Dynamical systems and complex networks: A Koopman operator perspective 2024 (under review) Stefan Klus, Natasa Djurdjevac Conrad BibTeX
arXiv
Complex Networks
2023
Insights into drivers of mobility and cultural dynamics of African hunter-gatherers over the past 120 000 years Royal Society Open Science, 10(11), 2023 Johannes Zonker, Cecilia Padilla-Iglesias, Natasa Djurdjevac Conrad BibTeX
DOI
Complex Networks
Supplementary code and data for Royal Society Open Science Manuscript rsos.230495 2023 Johannes Zonker, Cecilia Padilla-Iglesias, Natasa Djurdjevac Conrad BibTeX
DOI
Complex Networks
2022
Koopman-based spectral clustering of directed and time-evolving graphs Journal of Nonlinear Science, Vol.33, 2022 Stefan Klus, Natasa Djurdjevac Conrad BibTeX
arXiv
DOI
Complex Networks
2021
Inference of historical influence networks International Conference on Complex Networks & Their Applications Proceedings, pp. 110-113, 2021 Margarita Kostre, Vikram Sunkara, Natasa Djurdjevac Conrad BibTeX
DOI
Complex Networks
2018
Tracking online topics over time: understanding dynamic hashtag communities Computational Social Networks, 5(9), 2018 (accepted for publication) Philipp Lorenz-Spreen, Frederik Wolf, Jonas Braun, Gourab Ghoshal, Natasa Djurdjevac Conrad, Philipp Hövel BibTeX
DOI
Complex Networks
2017
Capturing the Dynamics of Hashtag-Communities International Workshop on Complex Networks and their Applications, pp. 401-413, 2017 Philipp Lorenz, Frederik Wolf, Jonas Braun, Natasa Djurdjevac Conrad, Philipp Hövel BibTeX
DOI
Complex Networks
2015
Modularity of Directed Networks: Cycle Decomposition Approach Journal of Computational Dynamics 2 (2015) pp. 1-24, 2015 (preprint available as ) Natasa Djurdjevac Conrad, Ralf Banisch, Christof Schütte BibTeX
DOI
Complex Networks
Reactive flows and unproductive cycles for random walks on complex networks ZIB-Report 15-19 (Appeared in: The European Physical Journal Special Topics, vol. 224, issue 12 ,(2015) pp. 2369-2387) Ralf Banisch, Natasa Djurdjevac Conrad, Christof Schütte PDF
BibTeX
URN
DOI
Complex Networks
2014
Modularity revisited: A novel dynamics-based concept for decomposing complex networks Journal of Computational Dynamics, 1(1), pp. 191-212, 2014 Marco Sarich, Natasa Djurdjevac Conrad, Sharon Bruckner, Tim Conrad, Christof Schütte PDF
BibTeX
DOI
Complex Networks