157 citations · 279 across the 8 of their papers we have counts for
9 papers
Opinion Dynamics with Multi-Body Interactions
Leonie Neuhäuser, Michael T. Schaub, Andrew Mellor +1
We introduce and analyse a three-body consensus model (3CM) for non-linear consensus dynamics on hypergraphs. Our model incorporates reinforcing group effects, which can cause shif…
Annotated Hypergraphs: Models and Applications
Philip Chodrow, Andrew Mellor
Hypergraphs offer a natural modeling language for studying polyadic interactions between sets of entities. Many polyadic interactions are asymmetric, with nodes playing distinctive…
Multi-body Interactions and Non-Linear Consensus Dynamics on Networked Systems
Leonie Neuhäuser, Andrew Mellor, Renaud Lambiotte
Multi-body interactions can reveal higher-order dynamical effects that are not captured by traditional two-body network models. In this work, we derive and analyse models for conse…
Graph Comparison via the Non-backtracking Spectrum
Andrew Mellor, Angelica Grusovin
The comparison of graphs is a vitally important, yet difficult task which arises across a number of diverse research areas including biological and social networks. There have been…
Event Graphs: Advances and Applications of Second-Order Time-Unfolded Temporal Network Models
Andrew Mellor
Recent advances in data collection and storage have allowed both researchers and industry alike to collect data in real time. Much of this data comes in the form of 'events', or ti…
Analysing Collective Behaviour in Temporal Networks Using Event Graphs and Temporal Motifs
Andrew Mellor
Historically studies of behaviour on networks have focused on the behaviour of individuals (node-based) or on the aggregate behaviour of the entire network. We propose a new method…
The Temporal Event Graph
Andrew Mellor
Temporal networks are increasingly being used to model the interactions of complex systems. Most studies require the temporal aggregation of edges (or events) into discrete time st…
Characterization of the Nonequilibrium Steady State of a Heterogeneous Nonlinear -Voter Model with Zealotry
Andrew Mellor, Mauro Mobilia, R. K. P. Zia
We introduce an heterogeneous nonlinear -voter model with zealots and two types of susceptible voters, and study its non-equilibrium properties when the population is finite and…
Influence of Luddism on innovation diffusion
Andrew Mellor, Mauro Mobilia, Sidney Redner +2
We generalize the classical Bass model of innovation diffusion to include a new class of agents --- Luddites --- that oppose the spread of innovation. Our model also incorporates i…