Synopsis: Robust Networks

A network model reveals optimal configurations for withstanding random failure or targeted attacks.
Synopsis figure
T. P. Peixoto and S. Bornholdt, Phys. Rev. Lett. (2012)

As man-made networks, from Facebook to the power grid, are increasingly gaining importance, it is crucial that we construct them to be as reliable as possible. In a paper in Physical Review Letters, Tiago Peixoto and Stefan Bornholdt at the University of Bremen, Germany, show how we could build a large-scale network that stands up best to random failure or intentional attacks.

The authors analyze the conditions under which, in a highly interdependent network, a problem in a small section could expand to the entire network and lead to widespread failure. To do this, they borrow the tools of percolation theory (which describes the movement of liquids through porous media) and use it to develop a model that describes networks as ensembles of discrete “blocks” of connected and interdependent nodes. With this model, they determine the network topologies most robust against random failure (which can occur at any node) and those that are robust against targeted attacks (which are directed at the most connected nodes).

The research shows that networks with a highly linked core connected to a periphery are most robust to random failures. This may explain why similar core-periphery topologies have emerged in many real systems, from the internet to gene-regulation networks. Instead, randomly connected, noncentralized topologies turn out to be the best protection against targeted attacks. – Sami Mitra


More Features »

Subject Areas

Interdisciplinary PhysicsComplex Systems

Previous Synopsis


Folding on the Curve

Read More »

Next Synopsis


Nanoparticles in Hiding

Read More »

Related Articles

Synopsis: How Correlated Weather Fluctuations Take Down Power Grids
Complex Systems

Synopsis: How Correlated Weather Fluctuations Take Down Power Grids

Line failures can emerge and propagate in power grids because of varying power injections such as those from wind and solar plants. Read More »

Synopsis: Three-Body Problem Solved for 1D Boson Trio
Atomic and Molecular Physics

Synopsis: Three-Body Problem Solved for 1D Boson Trio

Three research groups have solved the three-body problem for bosons confined in a one-dimensional system. Read More »

Synopsis: The Geometry of Arctic Ponds

Synopsis: The Geometry of Arctic Ponds

A geometric model of meltwater ponds may help predict how the polar ice caps might evolve under future climate changes. Read More »

More Articles