For the second time in a week, a long-standing conjecture has been disproved by artificial intelligence, highlighting the ...

Random graph theory provides a probabilistic framework for modelling and analysing networks in which connections between entities are assigned according to specified random processes. From its origins ...

An innovative approach to solving a stubborn, but elementary, question in graph theory — the mathematical study of networks of nodes and their connections — may signal the first major theoretical ...

In the race toward practical quantum computers and networks, photons—fundamental particles of light—hold intriguing possibilities as fast carriers of information at room temperature. Researchers at ...

Six Hollywood stars form a social group that has very special characteristics. Every distinct pair of stars in the group either mutually love each other or mutually hate each other. There is no set of ...

It has been an exhilarating year in combinatorics research. In early 2023, mathematicians were stunned when two of the biggest problems in the field were solved in as many months. Now, a third major ...

Kevin Lieber of Vsauce2 examines how basic matchstick puzzles help solve complex graph theory problems.