What's up in
Graph theory
Latest Articles
Four Is Not Enough
How many colors do you need to color an infinite plane so that no points 1 unit apart are the same color?
First Big Steps Toward Proving the Unique Games Conjecture
The latest in a new series of proofs brings theoretical computer scientists within striking distance of one of the great conjectures of their discipline.
Decades-Old Graph Problem Yields to Amateur Mathematician
By making the first progress on the “chromatic number of the plane” problem in over 60 years, an anti-aging pundit has achieved mathematical immortality.
The Tricky Translation of Mathematical Ideas
Big advances in math can happen when mathematicians move ideas into areas where they seem like they shouldn’t belong.
A Simple Visual Proof of a Powerful Idea
Ramsey’s theorem predicts a surprising (and useful) consistency in the organization of graphs. Here’s a simple visual proof of how it works.
Graph Isomorphism Vanquished — Again
Just five days after posting a retraction, László Babai announced that he had fixed the error in his landmark graph isomorphism algorithm.
Complexity Theory Problem Strikes Back
The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest.
Landmark Algorithm Breaks 30-Year Impasse
Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field.
In Brain’s ‘Rich Club,’ Meetings of the Mind
Neuroscientists have identified a network of highly linked brain regions that could prove essential in integrating information and facilitating higher-order cognitive tasks.