Take a group of runners circling a track at unique, constant paces. Answering the question of how many will always end up ...

How do you stop robotic traffic jams? Researchers found that adding "noise" or randomness to robot paths optimizes swarm efficiency, proving that swarms don't need central AI to avoid gridlock.

Before installation, it’s crucial to understand that Microsoft Graph is a RESTful web API that integrates various Microsoft services. You only need to authenticate once to access data across these ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2024. Many real-world networks change dynamically but can be notoriously ...

The methodology presented here is described in depth in Kalirad, A., & Sommer, R. J. (2025). Ecological graph theory: Simulating competition and coexistence on graphs ...

Our work advances the theory of neutral evolution, paying particular attention to how the holistic fitness landscape structure shapes the process of evolution and gives rise to emergent evolutionary ...

ABSTRACT: This paper contributes to the theoretical literature by analyzing the relationship between changes in sparsity and their impacts on financial networks with incomplete and random ...

According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now both been proved wrong. It started with a bet. In the late 1980s, at a ...

“I am not a self-made man. I got a lot of help,” Arnold Schwarzenegger writes in the foreword to Tim Ferriss’ book Tools of Titans: The Tactics, Routines, and Habits of Billionaires, Icons, and ...