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On the number of hamilton cycles in a random graph

✍ Scribed by C. Cooper; A. M. Frieze

Publisher: John Wiley and Sons
Year: 1989
Tongue: English
Weight: 576 KB
Volume: 13
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190130608

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✦ Synopsis

Let a random graph G be constructed by adding random edges one by one, starting with n isolated vertices. We show that with probability going to one as n goes to infinity, when G first has minimum degree two, it has at least (log n)('-')" distinct hamilton cycles for any fixed E > 0.

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