Cayley: a theorem on trees

What changed

Extended labelled-tree enumeration with degree-sensitive formulas in the 1889 note.

Scientific scope

The record is Cayley's sole-author 1889 note. The paper cites earlier work by Borchardt and is not treated as sole origin of every form or proof of the n^(n-2) formula; Prüfer codes and later matrix-tree proofs remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Cayley's sole-author 1889 note. The paper cites earlier work by Borchardt and is not treated as sole origin of every form or proof of the n^(n-2) formula; Prüfer codes and later matrix-tree proofs remain separate.

Contributors

• Arthur Cayley · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Göttingen digitized Quarterly Journal volume containing Cayley paper
• Cambridge collected-paper record for A theorem on trees

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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