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arXiv · 2204.11211

Oriented Hamiltonian Cycles in Tournaments: a Proof of Rosenfeld's Conjecture

Ayman El Zein
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Abstract

Rosenfeld in 1974 conjectured that there is an integer N > 8 such that every tournament of order n > N contains every non-directed cycle of order n. We prove that, with exactly 35 exceptions, every tournament of order n > 2 contains each non-directed cycle of order m, 2 < m < n+1.

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Ayman El Zein. 2023-02-09. Oriented Hamiltonian Cycles in Tournaments: a Proof of Rosenfeld's Conjecture. https://arxiv.org/abs/2204.11211

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