Alexei Vazquez

collaborators

5 papers

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…

cond-mat.stat-mech2026

The Ramsey community number as a renormalization-group crossing

Alexei Vazquez

The Ramsey community number $r_{k}$ 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…

physics.soc-ph2026

Community structure of the pseudofractal web

Alexei Vazquez

The Ramsey community number $r_{I^} º$ is the smallest network size at which a graph is better described by a partition into communities than by no partition, under a prescribed detect…

physics.soc-ph2026

The ring wants to be broken

Alexei Vazquez

The Ramsey community number $r_{I^} º$ 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 pre…

physics.soc-ph2026

Local network evolution rules drive shortest path multiplicity

Alexei Vazquez

The shortest path multiplicity, here denoted by $I^¼$ , is an important metric of complex networks. For real networks $I^¼$ is high and it correlates with the network community struct…