no code implementations • 2 Jun 2023 • Leonie Neuhäuser, Michael Scholkemper, Francesco Tudisco, Michael T. Schaub
Dynamical systems on hypergraphs can display a rich set of behaviours not observable for systems with pairwise interactions.
no code implementations • 10 Mar 2022 • Michael Scholkemper, Michael Schaub
Finding equitable partitions is closely related to the extraction of graph symmetries and of interest in a variety of applications context such as node role detection, cluster synchronization, consensus dynamics, and network control problems.
1 code implementation • 26 May 2021 • Michael Scholkemper, Michael T. Schaub
This paper re-examines the concept of node equivalences like structural equivalence or automorphic equivalence, which have originally emerged in social network analysis to characterize the role an actor plays within a social system, but have since then been of independent interest for graph-based learning tasks.