The mathematician Ben Green of the University of Oxford has made a major stride toward understanding a nearly 100-year-old combinatorics problem, showing that a well-known recent conjecture is “not ...

Combinatorial optimisation problems, typified by tasks such as scheduling, routing, assignment and various knapsack variants, pose formidable challenges due to their exponential solution spaces and NP ...

A framework based on advanced AI techniques can solve complex, computationally intensive problems faster and in a more more scalable way than state-of-the-art methods, according to a new study. A ...

Researchers from the Department of Electrical Engineering at Tokyo University of Science in Japan have developed what “a novel approach” to combinatorial optimisation problems (COPs). COPs are ...

The card game Set has long inspired mathematicians to create interesting problems. Now, a technique based on large language models (LLMs) is showing that artificial intelligence (AI) can help ...

Today's artificial intelligence (AI) systems possess many skills but typically fall short when it comes to tackling complex math problems. That's why Google is excited that two of its DeepMind AI ...

Graph saturation problems concern the minimal conditions under which adding any new edge to a given graph or hypergraph forces the appearance of a specified forbidden structure. In its simplest form, ...

Only a few months ago, the question felt mostly philosophical: if artificial intelligence can help solve open math problems, what happens to the idea of human genius? That question is no longer ...