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graph theory

Abstractions blog

A Simple Visual Proof of a Powerful Idea

April 13, 2017

Ramsey’s theorem predicts a surprising (and useful) consistency in the organization of graphs. Here’s a simple visual proof of how it works.

Illustration: boxing gloves
Abstractions blog

Graph Isomorphism Vanquished — Again

January 14, 2017

Just five days after posting a retraction, László Babai announced that he had fixed the error in his landmark graph isomorphism algorithm.

Illustration: boxing glove & graph
Abstractions blog

Complexity Theory Problem Strikes Back

January 5, 2017

The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest.

Computer Science

Landmark Algorithm Breaks 30-Year Impasse

December 14, 2015

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

October 24, 2013

Neuroscientists have identified a network of highly linked brain regions that could prove essential in integrating information and facilitating higher-order cognitive tasks.