Graph cover problems form a critical area within discrete optimisation and theoretical computer science, addressing the challenge of selecting subsets of vertices (or edges) that satisfy predetermined ...

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 ...

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 ...

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 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 ...

The original version of this story appeared in Quanta Magazine. For computer scientists, solving problems is a bit like mountaineering. First they must choose a problem to solve—akin to identifying a ...

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 ...

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 ...