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Hall: representatives of subsets

Contribution grade

Combinatorics and discrete mathematics · THEORY

Reference score250,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Proved the condition for choosing distinct representatives from each set in a finite family.

Scientific scope

The record is Hall's sole-author 1935 Journal of the London Mathematical Society paper. Its finite-family theorem and target formulation are not every later infinite, weighted, algorithmic or matching-theoretic extension.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Hall's sole-author 1935 Journal of the London Mathematical Society paper. Its finite-family theorem and target formulation are not every later infinite, weighted, algorithmic or matching-theoretic extension.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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