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arXiv · 2407.00646

Proof of Lovász conjecture for odd order

Misa Nakanishi
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Abstract

Lovász conjectured that every connected vertex-transitive graph contains a hamilton path in 1970. First we reveal the structure of connected vertex-transitive graphs with an odd number of vertices. Then we prove that every connected vertex-transitive graph with an odd number of vertices is hamiltonian.

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Misa Nakanishi. 2024-07-30. Proof of Lovász conjecture for odd order. https://arxiv.org/abs/2407.00646

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