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graph theory
graph theory
Elegant Six-Page Proof Reveals the Emergence of Random Structure
Two young mathematicians have astonished their colleagues with a full proof of the Kahn-Kalai conjecture — a sweeping statement about how structure emerges in random sets and graphs.
Quantized Academy
What a Math Party Game Tells Us About Graph Theory
Play this simple math game with your friends to gain insights into fundamental principles of graph theory.
geometry
An Ancient Geometry Problem Falls to New Mathematical Techniques
Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.
information theory
Qubits Can Be as Safe as Bits, Researchers Show
A new result shows that quantum information can theoretically be protected from errors just as well as classical information can.
number theory
Mathematicians Outwit Hidden Number Conspiracy
Decades ago, a mathematician posed a warmup problem for some of the most difficult questions about prime numbers. It turned out to be just as difficult to solve, until now.
information theory
Researchers Defeat Randomness to Create Ideal Code
By carefully constructing a multidimensional and well-connected graph, a team of researchers has finally created a long-sought locally testable code that can immediately betray whether it’s been corrupted.
graph theory
How Big Data Carried Graph Theory Into New Dimensions
Researchers are turning to the mathematics of higher-order interactions to better model the complex connections within their data.
set theory
Mathematicians Solve Decades-Old Classification Problem
A pair of researchers has shown that trying to classify groups of numbers called “torsion-free abelian groups” is as hard as it can possibly be.
combinatorics
Mathematicians Answer Old Question About Odd Graphs
A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections.