A note on the number of Hamiltonian paths in strong tournaments

被引:0
作者
Busch, AH [1 ]
机构
[1] Lehigh Univ, Dept Math, Bethlehem, PA 18105 USA
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that the minimum number of distinct hamiltonian paths in a strong tournament of order n is 5 n-1/3. A known construction shows this number is best possible when n equivalent to 1 mod 3 and gives similar minimal values for n congruent to 0 and 2 modulo 3.
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