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Finding hamilton cycles in sparse random graphs

✍ Scribed by A.M Frieze

Book ID: 107884276
Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 911 KB
Volume: 44
Category: Article
ISSN: 0095-8956
DOI: 10.1016/0095-8956(88)90089-5

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Let G n,m,k denote the space of simple graphs with n vertices, m edges, and minimum degree at least k, each graph G being equiprobable. Let G have property A k , if G contains (k -1)/2 edge disjoint Hamilton cycles, and, if k is even, a further edge disjoint matching of size n/2 . We prove that, for