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Mathematics · Source-linked note

A short constructive proof of the middle levels theorem

A constructive proof joins a cycle factor through explicitly described six-cycles to obtain a Hamilton cycle in the middle levels of an odd-dimensional cube.

What is recorded here?

A constructive proof joins a cycle factor through explicitly described six-cycles to obtain a Hamilton cycle in the middle levels of an odd-dimensional cube.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

This is the 2018 short proof, following the earlier proof credited by its authors. WRS retains the complete version-2 narrative and checks finite instances through n=6. Finite checks do not prove the theorem for all n or the asymptotic lower bound on the number of cycles. The earlier PDF-ingestion experiment remains a separate historical object.

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People and systems

Petr Gregor; Torsten Mütze; Jerri Nummenpalo

Listed source contributors; individual labor shares are not measured

Research locations and affiliations

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Documented countries / regions: Czech Republic, Germany, Switzerland

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English catalogue narrative

A short constructive proof of the middle levels theorem

A constructive proof joins a cycle factor through explicitly described six-cycles to obtain a Hamilton cycle in the middle levels of an odd-dimensional cube.

Scientific scope

This is the 2018 short proof, following the earlier proof credited by its authors. WRS retains the complete version-2 narrative and checks finite instances through n=6. Finite checks do not prove the theorem for all n or the asymptotic lower bound on the number of cycles. The earlier PDF-ingestion experiment remains a separate historical object.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Petr Gregor; Torsten Mütze; Jerri Nummenpalo

Listed source contributors; individual labor shares are not measured

Original sources