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Computer Scientists Attempt to Corner the Collatz Conjecture
A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot.
Computer Search Settles 90-Year-Old Math Problem
By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with tiles.
Landmark Math Proof Clears Hurdle in Top Erdős Conjecture
Two mathematicians have proved the first leg of Paul Erdős’ all-time favorite problem about number patterns.
‘Rainbows’ Are a Mathematician’s Best Friend
“Rainbow colorings” recently led to a new proof. It’s not the first time they’ve come in handy.
Rainbow Proof Shows Graphs Have Uniform Parts
Mathematicians have proved that copies of smaller graphs can always be used to perfectly cover larger ones.
Mathematicians Begin to Tame Wild ‘Sunflower’ Problem
A major advance toward solving the 60-year-old sunflower conjecture is shedding light on how order begins to appear as random systems grow in size.
Color Me Polynomial
Polynomials aren’t just exercises in abstraction. They’re good at illuminating structure in surprising places.
Decades-Old Computer Science Conjecture Solved in Two Pages
The “sensitivity” conjecture stumped many top computer scientists, yet the new proof is so simple that one researcher summed it up in a single tweet.
A 53-Year-Old Network Coloring Conjecture Is Disproved
In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible.