18 citations · 18 across the 8 of their papers we have counts for
8 papers
Graphs are maximally expressive for higher-order interactions
Tiago P. Peixoto, Leto Peel, Thilo Gross +1
We demonstrate that graph-based models are fully capable of representing higher-order interactions, and have a long history of being used for precisely this purpose. This stands in…
Diffusion-driven pattern formation in an opinion dynamical network model
Tim Mauch, Thilo Gross
The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation…
Long-term behavior of the master equation on a countable network and approximation methods of the (stationary) solutions via finite subsystems in the thermodynamic limit
Bernd Michael Fernengel, Thilo Gross, Wolfram Just
The Master equation on directed networks - also called the differential Chapman-Kolmogorov equation - is a linear differential equation, which describes the probability evolution i…
Counting Chemical Isomers with Multivariate Generating Functions
Rana Shojaei, Thilo Gross
Counting the number of isomers of a chemical molecule is one of the formative problems of graph theory. However, recent progress has been slow, and the problem has largely been ign…
Self-organization to multicriticality
Silja Sormunen, Thilo Gross, Jari Saramäki
Self-organized criticality is a well-established phenomenon, where a system dynamically tunes its structure to operate on the verge of a phase transition. Here, we show that the dy…
Phase transitions in optimally robust network structures
Laura Barth, Thilo Gross
If we add links to a network at random, a critical threshold can be crossed where a giant connected component forms. Conversely, if links or nodes are removed at random, the giant…
Manifold Cities: Social variables of urban areas in the UK
Edmund Barter, Thilo Gross
In the 21st century ongoing rapid urbanization highlights the need to gain deeper insights into the social structure of cities. While work on this challenge can profit from abundan…
Design of Self-Organising Networks
H. Silk, M. Homer, T. Gross
A key problem in the study and design of complex systems is the apparent disconnection between the microscopic and the macroscopic. It is not straightforward to identify the local…