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Paul Erdős

In Our Time: Science

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The Happy Ending Problem in Ramsey Theory

Ramsey theory isn't just about graphs and about these parties, but actually this phenomenon occurs elsewhere in mathematics. So one of Erdos's most famous open problems is the happy ending problem. In a similar way to the party problem, there is a solution. If you put enough points on a piece of paper, you're going to get your end sided shape somewhere in that picture. We know there is some answer, but we don't know exactly what it is. Do you ever will?

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