P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...

Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

How good is your company at problem solving? Probably quite good, if your managers are like those at the companies I’ve studied. What they struggle with, it turns out, is not solving problems but ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) ...

Five steps to ensure that you don’t jump to solutions by Julia Binder and Michael D. Watkins When business leaders confront complex problems, there’s a powerful impulse to dive right into “solving” ...

Extremal graph theory seeks the largest or smallest structure a graph can exhibit under given constraints, typically by forbidding a particular subgraph. The classical Turán problem determines the ...

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Problem solving is the mental process of analyzing a situation, learning what options are available, and then choosing the alternative that will result in the desired outcome or some other selected ...