6 papers
Universal Model of Urban Street Networks
Marc Barthelemy, Geoff Boeing
Analyzing 9,000 urban areas' street networks, we identify properties, including extreme betweenness centrality heterogeneity, that typical spatial network models fail to explain. A…
From lines to networks
Marc Barthelemy
Many real-world networks, ranging from subway systems to polymer structures and fungal mycelia, do not form by the incremental addition of individual nodes but instead grow through…
Critical demand in a stochastic model of flows in supply networks
Yannick Feld, Marc Barthelemy
Supply networks are essential for modern production, yet their critical properties remain understudied. We present a stochastic model with random production capacities to analyze m…
Surfacic networks
Marc Barthelemy, Geoff Boeing, Alain Chiarada +1
Surfacic networks are structures built upon a two-dimensional manifold. Many systems, including transportation networks and various urban networks, fall into this category. The flu…
A Stochastic Block Hypergraph model
Alexis Pister, Marc Barthelemy
The stochastic block model is widely used to generate graphs with a community structure, but no simple alternative currently exists for hypergraphs, in which more than two nodes ca…
Fragility of Chess positions: measure, universality and tipping points
Marc Barthelemy
We introduce a novel metric to quantify the fragility of chess positions using the interaction graph of pieces. This fragility score captures the tension within a position and…