Machine learning meets complex networks via coalescent embedding in the hyperbolic space

A Muscoloni, JM Thomas, S Ciucci, G Bianconi… - Nature …, 2017 - nature.com
Physicists recently observed that realistic complex networks emerge as discrete samples
from a continuous hyperbolic geometry enclosed in a circle: the radius represents the node …

Recent advances in scalable network generation

M Penschuck, U Brandes, M Hamann, S Lamm… - arXiv preprint arXiv …, 2020 - arxiv.org
Random graph models are frequently used as a controllable and versatile data source for
experimental campaigns in various research fields. Generating such data-sets at scale is a …

Communication-free massively distributed graph generation

D Funke, S Lamm, U Meyer, M Penschuck… - Journal of Parallel and …, 2019 - Elsevier
Analyzing massive complex networks yields promising insights about our everyday lives.
Building scalable algorithms to do so is a challenging task that requires a careful analysis …

Efficiently generating geometric inhomogeneous and hyperbolic random graphs

T Bläsius, T Friedrich, M Katzmann, U Meyer… - Network …, 2022 - cambridge.org
Hyperbolic random graphs (HRGs) and geometric inhomogeneous random graphs (GIRGs)
are two similar generative network models that were designed to resemble complex real …

Scalable kernelization for maximum independent sets

D Hespe, C Schulz, D Strash - Journal of Experimental Algorithmics (JEA …, 2019 - dl.acm.org
The most efficient algorithms for finding maximum independent sets in both theory and
practice use reduction rules to obtain a much smaller problem instance called a kernel. The …

The inherent community structure of hyperbolic networks

B Kovács, G Palla - Scientific Reports, 2021 - nature.com
A remarkable approach for grasping the relevant statistical features of real networks with the
help of random graphs is offered by hyperbolic models, centred around the idea of placing …

Group centrality maximization for large-scale graphs

E Angriman, A van der Grinten, A Bojchevski… - 2020 Proceedings of the …, 2020 - SIAM
The study of vertex centrality measures is a key aspect of network analysis. Naturally, such
centrality measures have been generalized to groups of vertices; for popular measures it …

Geohyperbolic routing and addressing schemes

I Voitalov, R Aldecoa, L Wang, D Krioukov - ACM SIGCOMM Computer …, 2017 - dl.acm.org
The key requirement to routing in any telecommunication network, and especially in Internet-
of-Things (IoT) networks, is scalability. Routing must route packets between any source and …

[PDF][PDF] Algorithms for large-scale network analysis and the NetworKit toolkit

E Angriman, A van der Grinten, M Hamann… - Algorithms for Big …, 2023 - library.oapen.org
The abundance of massive network data in a plethora of applications makes scalable
analysis algorithms and software tools necessary to generate knowledge from such data in …

Optimisation of the coalescent hyperbolic embedding of complex networks

B Kovács, G Palla - Scientific Reports, 2021 - nature.com
Several observations indicate the existence of a latent hyperbolic space behind real
networks that makes their structure very intuitive in the sense that the probability for a …