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physics.soc-ph2026

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…

physics.soc-ph2026

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…

physics.soc-ph2026

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…

physics.soc-ph2026

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…

physics.soc-ph2023

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…

physics.soc-ph2023

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…