A major advance reveals deep connections between the classes of problems that computers can — and can’t — possibly do. At first glance, the big news coming out of this summer’s conference on the ...

The field of polynomial systems occupies a central role in computational mathematics, where the intricate interplay between algebra, geometry, and computational complexity is evident. Research in this ...

Complexity theory is a fundamental branch of theoretical computer science that categorises computational problems according to their inherent difficulty and the resources required to solve them. At ...

In computational complexity theory, P and NP are two classes of problems. P is the class of decision problems that a deterministic Turing machine can solve in polynomial time. In useful terms, any ...

A solution to P vs NP could unlock countless computational problems—or keep them forever out of reach. 1. On Monday, July 19, 2021, in the middle of another strange pandemic summer, a leading computer ...

Our research area encompasses the study of computation, computational models, computational complexity, algorithm design, algorithm verification, combinatorial optimization, computational biology and ...

This news release is available in German. The authors specifically took a look at complexity theory which is part of theoretical computer science as well as mathematics. It classifies algorithms that ...

Computational neuroscientists taught an artificial neural network to imitate a biological neuron. The result offers a new way to think about the complexity of single brain cells. Our mushy brains seem ...

A new NURBS-based algorithm is revolutionizing gridshell design by enabling faster, smoother, and more flexible shape-finding ...

One of the depressing truths about social media is that the popularity of an image is not necessarily an indication of its quality. It’s easy to find hugely popular content of dubious quality. But ...