On the existence of Hamiltonian cycles in a class of random graphs

Fenner, Trevor and Frieze, A.M. (1983) On the existence of Hamiltonian cycles in a class of random graphs. Discrete Mathematics 45 (2-3), pp. 301-305. ISSN 0012-365X.

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Official URL: https://doi.org/10.1016/0012-365X(83)90046-8

Abstract

A digraph with n vertices and fixed outdegree m is generated randomly so that each such digraph is equally likely to be chosen. We consider the probability of the existence of a Hamiltonian cycle in the graph obtained by ignoring arc orientation. We show that there exists m (⩽23) such that a Hamiltonian cycle exists with probability tending to 1 as n tends to infinity.

Metadata

Item Type:	Article
School:	Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
Depositing User:	Sarah Hall
Date Deposited:	23 Mar 2021 19:33
Last Modified:	09 Aug 2023 12:50
URI:	https://eprints.bbk.ac.uk/id/eprint/43633

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