English

Core-periphery detection in multilayer networks

Physics and Society 2025-05-08 v2 Numerical Analysis Numerical Analysis

Abstract

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. Core-periphery detection involves partitioning the nodes of a network into core nodes, which are highly connected across the network, and peripheral nodes, which are densely connected to the core but sparsely connected among themselves. In this paper, we propose a new model of core-periphery in multilayer network and a nonlinear spectral method that simultaneously detects the corresponding core and periphery structures of both nodes and layers in weighted and directed multilayer networks. Our method reveals novel structural insights in three empirical multilayer networks from distinct application areas: the citation network of complex network scientists, the European airlines transport network, and the world trade network.

Keywords

Cite

@article{arxiv.2412.04179,
  title  = {Core-periphery detection in multilayer networks},
  author = {Kai Bergermann and Francesco Tudisco},
  journal= {arXiv preprint arXiv:2412.04179},
  year   = {2025}
}
R2 v1 2026-06-28T20:24:14.898Z