18 citations · 18 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…