Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  prove that the minimum number of distinct hamiltonian paths in a strong tournament of order $n$ is $5^{{n-1}\over{3}}$.  A known construction shows this number is best possible when $n \equiv 1 \hbox{ mod } 3$ and gives similar minimal values for $n$ congruent to $0$ and $2$ modulo $3$.
['Arthur H. Busch']
I am writing a research paper on a idea A Note on the Number of Hamiltonian Paths in Strong Tournaments
[{"from": "human", "value": "I am writing a research paper on a idea A Note on the Number of Hamiltonian Paths in Strong Tournaments"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  prove that the minimum number of distinct hamiltonian paths in a strong tournament of order $n$ is $5^{{n-1}\\over{3}}$.  A known construction shows this number is best possible when $n \\equiv 1 \\hbox{ mod } 3$ and gives similar minimal values for $n$ congruent to $0$ and $2$ modulo $3$."}]