combinatorics / Graph decompositions

Hamilton Decompositions of the Directed 5-Torus, Odd Modulus

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

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combinatoricsApr 29, 2026Significance 5/100Registry: unreviewed

Hamilton Decompositions of the Directed 5-Torus, Odd Modulus

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

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

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