For most of the past century, mathematicians have been exploring the limits of Ramsey theory, the study of order hiding ...

Six Hollywood stars form a social group that has very special characteristics. Every distinct pair of stars in the group ...

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 ...

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 ...

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 ...

Now that pandemic restrictions are easing up, people are getting together again. But it’s been a while, so if you and your friends need some help breaking the ice, here’s a mathematical party game you ...

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