Consensus Dynamics and Opinion Formation on Hypergraphs

DOI10.1007/978-3-030-91374-8_14zbMath1504.91222arXiv2105.01369OpenAlexW3158725880MaRDI QIDQ5053678

Leonie Neuhäuser, Michael T. Schaub, Renaud Lambiotte

Publication date: 6 December 2022

Published in: Understanding Complex Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01369

Mathematics Subject Classification ID

Social networks; opinion dynamics (91D30) Hypergraphs (05C65)

Related Items

Core-Periphery Detection in Hypergraphs, Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors, Synchronization in Temporal Simplicial Complexes, Hypernetworks: Cluster Synchronization Is a Higher-Order Effect, The structure and dynamics of networks with higher order interactions, Comparing the principal eigenvector of a hypergraph and its shadows, Quantifying the structural stability of simplicial homology

Uses Software

• CliqueTop

Cites Work

• On bifurcations in nonlinear consensus networks
• Local frequency dependence and global coexistence
• Random walks and diffusion on networks
• Opinion dynamics with multi-body interactions
• Random walks on simplicial complexes and harmonics
• Clique topology reveals intrinsic geometric structure in neural correlations
• Simplicial complexes: Spectrum, homology and random walks
• A simple model of global cascades on random networks
• Consensus and Cooperation in Networked Multi-Agent Systems
• On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity
• $P$-persistent homology of finite topological spaces