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Hamilton Decompositions of the Directed 5-Torus, Odd Modulus

Combinatorics · solved

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Statement

The directed five-dimensional torus D5(m)D_5(m) has a Hamilton decomposition for every odd m≥3m \geq 3, extending the decomposition program for directed tori beyond the three-dimensional case.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. construction · #1

    SangHyun Park, using GPT-5.5 Pro, GPT-5.5 Codex, Claude Opus 4.7

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai co developed
    — a person and a model developed the result together.

    GPT-5.5 Pro "contributed to proof exploration, including selector design and block-recurrence case analysis"; GPT-5.5 Codex drafted the Lean 4 formalization; Claude Opus 4.7 contributed exposition. All mathematical content author-verified.

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