SMRTR Science & EngineeringApr 6, 2025Quanta Magazine

How a Problem About Pigeons Powers Complexity Theory

SMRTR summary

The pigeonhole principle, a simple mathematical concept stating that items outnumbering categories must share categories, has become a powerful tool in theoretical computer science. Recent work on the "empty-pigeonhole principle" has led to new insights in computational complexity theory, connecting the search for hard problems to other long-studied mathematical challenges.

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