NP-complete problems, including optimal routing, scheduling and network design, are foundational to essential tasks across various industries. However, they actually pose challenges for conventional ...

Community driven content discussing all aspects of software development from DevOps to design patterns. The speed and efficiency of traditionally developed software applications is limited by the fact ...

A high-performance C# implementation of the classic NP-complete Subset Sum problem. Built as a research-driven exploration of computational complexity, this project applies advanced algorithmic ...

A new proof illuminates the hidden patterns that emerge when addition becomes impossible. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward ...

Electronic computers are extremely powerful at performing a high number of operations at very high speeds, sequentially. However, they struggle with combinatorial tasks that can be solved faster if ...

This is an edited transcript of an episode of “The Ezra Klein Show.” You can listen to the conversation by following or subscribing to the show on the NYT Audio App, Apple, Spotify, Amazon Music, ...

Thousands of notoriously difficult problems in computer science are actually the same problem in disguise If you're enjoying this article, consider supporting our award-winning journalism by ...

Light propagates in a three-dimensional photonic circuit to solve the subset sum problem. The image of the reconfigurable photonic processor is based on the research presented. Credit: Xu et al., doi ...

Traditional computers struggle with NP-complete problems, which grow exponentially in complexity. According to a study published in Advanced Photonics, a group of researchers from Shanghai Jiao Tong ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...