A note on the number of Hamiltonian paths in strong tournaments (Q813441)
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scientific article; zbMATH DE number 5005206
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the number of Hamiltonian paths in strong tournaments |
scientific article; zbMATH DE number 5005206 |
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A note on the number of Hamiltonian paths in strong tournaments (English)
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9 February 2006
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Summary: We prove that the minimum number of distinct Hamiltonian paths in a strong tournament of order \(n\) is \(5^{\frac {n-1}3}\). A known construction shows this number is best possible when \(n \equiv 1 \bmod 3\) and gives similar minimal values for \(n\) congruent to 0 and 2 modulo 3.
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0.9321503
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0.91633415
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0.91203874
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0.90521073
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0.89817643
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