Abstract: In this paper, we study the problem of achieving average consensus over a random time-varying sequence of directed graphs by extending the class of so-called push-sum algorithms to such ...

Abstract: Most methods proposed to uncover communities in complex networks rely on combinatorial graph properties. Usually an edge-counting quality function, such as modularity, is optimized over all ...

Amazon has developed a new networking topology that's up to a third faster and up to 40 percent more energy efficient than traditional hierarchical network designs. The novel architecture, called ...

MATLAB simulation code for studying the probability of structural diagonalizability in the random directed graph models G (n,p) and G (n,p,q), including Monte Carlo experiments, theoretical bounds, ...

Kevin Lieber of Vsauce2 examines how basic matchstick puzzles help solve complex graph theory problems.

2026/06/02: add fixes and troubleshooting notes for open GitHub issues: safe FPS indexing during test, corrected Hausdorff calculation, more robust CGAL evaluation compilation/P2F handling, HDF5 ...

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

Amazon provides 28% of the internet's cloud infrastructure with its AWS servers, and the company actively seeks new tech to ...

By this afternoon and evening, scattered thunderstorms develop, and a few could produce brief, localized gusty winds. High ...

A smarter workspace for modern notes.

America turned 250 years old this month, which is a terrific opportunity to make this article a tribute to a country I love ...