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Hamilton Cycles in Random Regular Digraphs

Published online by Cambridge University Press:  12 September 2008

Colin Cooper ,
Alan Frieze  and
Michael Molloy
Colin Cooper
Affiliation:
School of Mathematical Sciences, University of North London, London, U.K.
Alan Frieze
Affiliation:
Department of Mathematics, Carnegie-Mellon University, Pittsburgh PA 15213, U.S.A.
Michael Molloy
Affiliation:
Department of Mathematics, Carnegie-Mellon University, Pittsburgh PA 15213, U.S.A.
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Abstract

We prove that almost every r-regular digraph is Hamiltonian for all fixed r ≥ 3.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 3 , Issue 1 , March 1994 , pp. 39 - 49
Copyright
Copyright © Cambridge University Press 1994

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References

[1]Bender, E. A. and Canfield, E. R. (1978) The asymptotic number of labelled graphs with given degree sequences, Journal of Combinatorial Theory (A) 24 296–307.CrossRefGoogle Scholar
[2]Bollobás, B. (1983) Almost all regular graphs are Hamiltonian. European Journal of Combinatorics 4 97–106.CrossRefGoogle Scholar
[3]Bollobás, B. (1983) Random graphs, Academic Press.Google Scholar
[4]Cooper, C. and Frieze, A. M. (to appear) Hamilton cycles in a class of random digraphs.Google Scholar
[5]Fenner, T. I. and Frieze, A. M. (1984) Hamiltonian cycles in random regular graphs, Journal of Combinatorial Theory B 37 103–112.CrossRefGoogle Scholar
[6]Frieze, A. M. (1988) Finding hamilton cycles in sparse random graphs, Journal of Combinatorial Theory B 44 230–250.CrossRefGoogle Scholar
[7]Kolchin, V. F. (1986) Random mappings, Optimization Software Inc., New York.Google Scholar
[8]Robinson, R. W. and Wormald, N. C. (1992) Almost all cubic graphs are Hamiltonian, Random Structures and Algorithms 3 117–126.CrossRefGoogle Scholar
[9]Robinson, R. W. and Wormald, N. C. (to appear) Almost all regular graphs are Hamiltonian, Random Structures and Algorithms.Google Scholar