The maximum number of Hamiltonian paths in tournaments

Noga Alon

doi:10.1007/BF02128667

The maximum number of Hamiltonian paths in tournaments

Noga Alon^*

^*Corresponding author for this work

School of Mathematical Sciences

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

24 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
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

Keywords

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

Access to Document

10.1007/BF02128667

Cite this

@article{dbe52fe80a21480ebcdae05a631c10b9,

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.",

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

author = "Noga Alon",

year = "1990",

month = dec,

doi = "10.1007/BF02128667",

language = "אנגלית",

volume = "10",

pages = "319--324",

journal = "Combinatorica",

issn = "0209-9683",

publisher = "Janos Bolyai Mathematical Society",

number = "4",

}

TY - JOUR

T1 - The maximum number of Hamiltonian paths in tournaments

AU - Alon, Noga

PY - 1990/12

Y1 - 1990/12

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

UR - http://www.scopus.com/inward/record.url?scp=0040198191&partnerID=8YFLogxK

U2 - 10.1007/BF02128667

DO - 10.1007/BF02128667

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0040198191

SN - 0209-9683

VL - 10

SP - 319

EP - 324

JO - Combinatorica

JF - Combinatorica

IS - 4

ER -

The maximum number of Hamiltonian paths in tournaments

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this