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arXiv · 2101.00713

About the number of oriented Hamiltonian paths and cycles in tournaments

Amine El Sahili·Zeina Ghazo Hanna
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Abstract

We prove that a tournament and its complement contain the same number of oriented Hamiltonian paths (resp. cycles) of any given type, as a generalization of Rosenfeld's result proved for antidirected paths.

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Amine El Sahili, Zeina Ghazo Hanna. 2021-01-03. About the number of oriented Hamiltonian paths and cycles in tournaments. https://arxiv.org/abs/2101.00713

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