9 papers
Trimers, pairs and localisation on disordered random graphs
Alexei Vazquez
Higher-order networks take group interactions as given. I ask what happens when a group interaction is made by pairwise dynamics on a graph, and follow it through the transition th…
The giant component of complex hypergraphs: automated generating function calculations
Alexei Vazquez
Complex hypergraphs (chygraphs) contain graphs, hypergraphs, multiplex and interacting networks as special cases, and the percolation threshold of all of them follows from one symb…
Local network growth: How simple rules drive network complexity
Alexei Vazquez
The Internet, a living cell, a circle of friends, a billion-dollar construction project: these systems share almost nothing -- yet, drawn as networks, they look astonishingly alike…
The Ramsey community number as a renormalization-group crossing
Alexei Vazquez
The Ramsey community number is the smallest size at which a network is better described by communities than by none, under a Bayesian detection rule. On the diamond hierarchi…
Community structure of the pseudofractal web
Alexei Vazquez
The Ramsey community number is the smallest network size at which a graph is better described by a partition into communities than by no partition, under a prescribed detecti…
The ring wants to be broken
Alexei Vazquez
The Ramsey community number is the minimum network size at which a graph's connectivity is better described by a partition into communities than by no partition, under a pres…
Local network evolution rules driving shortest path multiplicity
Alexei Vazquez
The shortest path multiplicity, here denoted by , is an important metric of complex networks. For real networks is high and it correlates with the network community structur…
Emerge of scaling in project schedules
Alexei Vazquez
A project schedule contains a network of activities, the activity durations, the early and late finish dates for each activity, and the associated total float or slack times, the d…
Robustness and complexity of directed and weighted metabolic hypergraphs
Pietro Traversa, Guilherme Ferraz de Arruda, Alexei Vazquez +1
Metabolic networks are probably among the most challenging and important biological networks. Their study provides insight into how biological pathways work and how robust a specif…