The maximum number of Hamiltonian paths in tournaments

Noga Alon

doi:10.1007/BF02128667

The maximum number of Hamiltonian paths in tournaments

Noga Alon

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

Solving an old conjecture of Szele we show that the maximum number of directed Hamiltonian paths in a tournament on n vertices is at most c · n^3/2· n!/2^n-1, where c is a positive constant independent of n.

Original language	English (US)
Pages (from-to)	319-324
Number of pages	6
Journal	Combinatorica
Volume	10
Issue number	4
DOIs	https://doi.org/10.1007/BF02128667
State	Published - Dec 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mathematics
Discrete Mathematics and Combinatorics

Keywords

AMS subject classification (1980): 05C20, 05C35, 05C38

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10.1007/BF02128667

Cite this

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title = "The maximum number of Hamiltonian paths in tournaments",

abstract = "Solving an old conjecture of Szele we show that the maximum number of directed Hamiltonian paths in a tournament on n vertices is at most c · n3/2· n!/2n-1, where c is a positive constant independent of n.",

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author = "Noga Alon",

year = "1990",

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doi = "10.1007/BF02128667",

language = "English (US)",

volume = "10",

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AU - Alon, Noga

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N2 - Solving an old conjecture of Szele we show that the maximum number of directed Hamiltonian paths in a tournament on n vertices is at most c · n3/2· n!/2n-1, where c is a positive constant independent of n.

AB - Solving an old conjecture of Szele we show that the maximum number of directed Hamiltonian paths in a tournament on n vertices is at most c · n3/2· n!/2n-1, where c is a positive constant independent of n.

KW - AMS subject classification (1980): 05C20, 05C35, 05C38

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JO - Combinatorica

JF - Combinatorica

IS - 4

ER -

The maximum number of Hamiltonian paths in tournaments

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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