Network science

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms.

Fan Chung, who has an Erdős number of 1, discusses the importance of connection — both human and mathematical.

Terence Tao, who has been called the “Mozart of Mathematics,” wrote an essay in 2007 about the common ingredients in “good” mathematical research. In this episode, the Fields Medalist joins Steven Strogatz to revisit the topic.

Researchers can now find the shortest route through a network nearly as fast as theoretically possible, even when some steps can cancel out others.

Computer scientists can now solve a decades-old problem in practically the time it takes to write it down.

By reconstructing prehistoric food webs and analyzing the diverse interactions of humans with other species, the ecologist Jennifer Dunne is developing a new understanding of sustainability through network science.

As researchers delve deeper into the behavior of decentralized collective systems, they’re beginning to question some of their initial assumptions.

Studying the structure of existing friendships in your community can help you forge the best connections when forming a new circle of friends.

A new study challenges one of the most celebrated and controversial ideas in network science.