21 citations · 41 across the 12 of their papers we have counts for
12 papers
Edge-based Katz centralities for spatio-temporal multiplex networks
Kai Bergermann, Francesco Gravili, Valeria Simoncini +1
Katz centrality is a well-established measure to identify and rank the most important nodes in complex networks by means of a linear system solve. Recent works have developed notio…
Deterministic sketching for Krylov subspace methods
Kai Bergermann
Randomized sketching is currently introduced into every area of numerical linear algebra. In Krylov subspace methods, it allows runtime savings at the cost of small accuracy reduct…
Core-periphery detection in multilayer networks
Kai Bergermann, Francesco Tudisco
Multilayer networks provide a powerful framework for modeling complex systems that capture different types of interactions between the same set of entities across multiple layers.…
Gradient flow-based modularity maximization for community detection in multiplex networks
Kai Bergermann, Martin Stoll
We propose two methods for the unsupervised detection of communities in undirected multiplex networks. These networks consist of multiple layers that record different relationships…
A nonlinear spectral core-periphery detection method for multiplex networks
Kai Bergermann, Martin Stoll, Francesco Tudisco
Core-periphery detection aims to separate the nodes of a complex network into two subsets: a core that is densely connected to the entire network and a periphery that is densely co…
A Twitter network and discourse analysis of the Rana Plaza collapse
Kai Bergermann, Margitta Wolter
Ten years after the collapse of the Rana Plaza textile factory in Dhaka, Bangladesh that killed over factory workers, the event has become a symbol for the desolate workin…
Adaptive rational Krylov methods for exponential Runge--Kutta integrators
Kai Bergermann, Martin Stoll
We consider the solution of large stiff systems of ordinary differential equations with explicit exponential Runge--Kutta integrators. These problems arise from semi-discretized se…
Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors
Kai Bergermann, Carsten Deibel, Roland Herzog +3
The Cahn--Hilliard equations are a versatile model for describing the evolution of complex morphologies. In this paper we present a computational pipeline for the numerical solutio…
Orientations and matrix function-based centralities in multiplex network analysis of urban public transport
Kai Bergermann, Martin Stoll
We study urban public transport systems by means of multiplex networks in which stops are represented as nodes and each line is represented by a layer. We determine and visualize p…
Fast computation of matrix function-based centrality measures for layer-coupled multiplex networks
Kai Bergermann, Martin Stoll
Centrality measures identify and rank the most influential entities of complex networks. In this paper, we generalize matrix function-based centrality measures, which have been stu…
An Extension of the Strain Transfer Principle for Fiber Reinforced Materials
Felix Ospald, Kai Bergermann, Roland Herzog
Fiber optical strain sensors are used to measure the strain at a particular sensor position inside the fiber. In order to deduce the strain in the surrounding matrix material, one…
Semi-supervised Learning for Aggregated Multilayer Graphs Using Diffuse Interface Methods and Fast Matrix Vector Products
Kai Bergermann, Martin Stoll, Toni Volkmer
We generalize a graph-based multiclass semi-supervised classification technique based on diffuse interface methods to multilayer graphs. Besides the treatment of various applicatio…