Computer scientists have written a network flow algorithm that computes almost as fast as is mathematically possible. This algorithm computes the maximum traffic flow with minimum transport costs for ...

In 1996, Dor, Halperin, and Zwick introduced an influential method that delivered a “2-approximation” in nearly optimal time.

From the physical world to the virtual world, algorithms are seemingly everywhere. David J. Malan, Professor of Computer Science at Harvard University, has been challenged to explain the science of ...

The original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...

Building on a landmark algorithm, researchers propose a way to make a smaller and more noise-tolerant quantum factoring circuit for cryptography. The most recent email you sent was likely encrypted ...

In computer science, the research area of algorithms investigates formal procedures for solving computational problems, emphasizing correctness, efficiency, and resource optimization. It encompasses ...

Artificial intelligence learned how to generate text and art better than ever before, while computer scientists developed algorithms that solved long-standing problems. In 2023, artificial ...

This course studies approximation algorithms – algorithms that are used for solving hard optimization problems. Such algorithms find approximate (slightly suboptimal) solutions to optimization ...

The algorithms that underlie modern artificial-intelligence (AI) systems need lots of data on which to train. Much of that data comes from the open web which, unfortunately, makes the AIs susceptible ...

When the Clay Mathematics Institute put individual $1-million prize bounties on seven unsolved mathematical problems, they may have undervalued one entry—by a lot. If mathematicians were to resolve, ...