Random Networks

Riding the wave in disordered open systems: a universal rule that ties where waves go to how a spectrum looks

Researchers introduce a set of universal relations that connect spectrum shapes to wave behavior in one-dimensional disordered systems. The framework reveals a never-before-seen critical state where waves localize differently depending on direction, and shows how it can be tracked using a topological winding number.

SourceScience China Press·JournalScience Bulletin·TypeComputational simulation/modeling·DateJun 5, 2026

Joining the dots: Mathematicians solve hot coloring problem

Researchers have successfully solved a problem in graph theory that has attracted attention from within the field. The team's research involves packing coloring, which deals with labelling parts of a graph to comply with certain rules and avoid specific conflicts.

SourceXi'an Jiaotong-Liverpool University·JournalJournal of Graph Theory·TypeMeta-analysis·DateSep 18, 2023

Random networks of neurons can predict the timing stimulus

Researchers found that neural networks grown in a dish can predict future stimulus events, with higher prediction efficiencies in focally stimulated networks. Focal electrical stimulation induced long-term memory traces and reduced dependence on short-term memory.

SourcePNAS Nexus·JournalPNAS Nexus·DateJun 27, 2023

Quantifying effectiveness of treatment for irregular heartbeat

Researchers at Johns Hopkins developed a mathematical method to predict the effectiveness of catheter ablation for treating Afib. The study found that improving electrical communication in the heart immediately after the procedure can predict longer-term success rates.

SourceJohns Hopkins Medicine·JournalPLOS ONE·DateJul 17, 2017

Apple iPhone 17 Pro

Apple iPhone 17 Pro delivers top performance and advanced cameras for field documentation, data collection, and secure research communications.

Harnessing the predictive power of virtual communities

Scientists have created a propagation-based algorithm to extract both link-density and link-pattern communities from real-life networks. This approach outperforms existing state-of-the-art algorithms in detecting real-life communities, particularly those characterized by internal patterns of similar connectedness.

SourceSpringer·JournalThe European Physical Journal B·DateJan 30, 2012

Random network connectivity can be delayed, but with explosive results, new study finds

Researchers have discovered a new phenomenon in which super-connectivity is significantly delayed due to the introduction of randomness. The transition becomes instantaneous once it occurs, like crystallizing ice.

SourceUniversity of California - Davis·JournalScience·DateMar 12, 2009