How algorithms simplify problem-solving while creating challenges in software development, with insights into their benefits, limitations, and widespread use across industries and everyday digital ...

Abstract: In this paper, security mechanism called zero knowledge proofs has been defined using subset sum problem. We have used subset sum problem for robustness analysis of zero-knowledge proofs ...

A new quantum-inspired algorithm has cracked a problem so massive that conventional supercomputers struggle to even approach it. Researchers used the method to simulate extraordinarily complex quantum ...

Determining the least expensive path for a new subway line underneath a metropolis like New York City is a colossal planning challenge—involving thousands of potential routes through hundreds of city ...

Abstract: Quantum walk-based search algorithms have demonstrated an asymptotic quadratic speedup compared to classical search methods. Formulating a generic search problem as a (quantum) search over a ...

Bio-inspired computational methods have gained popularity recently. These methods mimic the seemingly complex behavior of organisms to tackle difficult and often overwhelming problems. For example, ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

Researchers have successfully used a quantum algorithm to solve a complex century-old mathematical problem long considered impossible for even the most powerful conventional supercomputers. The ...

Pau Torres and Tyrone Mings started together in central defence. It had been a long time coming, given their respective injuries and the general reticence to combine two left-footed defenders until ...

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 ...