2023's Biggest Breakthroughs in Math
Quanta Magazine・2 minutes read
Invite six guests to your dinner party to mix familiarity with new connections, and dive into the challenging Ramsey number problem in graph theory, where recent breakthroughs and new algorithms have significantly advanced understanding of complex networks and tiling theory. Kelly and Meka's innovative approach to the three-progression problem showcases a combination of existing tools that substantially reduces the established ceiling, gaining validation from prominent mathematicians Bloom and Sisasks.
Insights
- Mathematicians have made significant progress in understanding Ramsey numbers, with recent breakthroughs lowering the upper bound exponentially, thanks to new algorithms and improved solutions.
- Zander Kelly and Raghu Meka's innovative approach to the three-progression problem, combining existing tools like the density increment strategy and sifting algorithm, led to a substantial reduction in the established ceiling, validated by mathematicians Bloom and Sisasks.
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Recent questions
What is the Ramsey number problem?
The Ramsey number problem focuses on patterns in networks.
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