The maximum number of Hamiltonian paths in tournaments |
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| Authors: | Alon Noga |
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| Institution: | (1) Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel-Aviv, Israel |
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| Abstract: | Solving an old conjecture of Szele we show that the maximum number of directed Hamiltonian paths in a tournament onn vertices is at mostc · n
3/2
· n!/2
n–1, wherec is a positive constant independent ofn.Research supported in part by a U.S.A.-Israel BSF grant and by a Bergmann Memorial Grant. |
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| Keywords: | 05 C 20 05 C 35 05 C 38 |
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