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The Cover Time of Random Regular Graphs

✍ Scribed by Cooper, Colin; Frieze, Alan


Book ID
118197223
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
187 KB
Volume
18
Category
Article
ISSN
0895-4801

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It is shown that for each r G 3, a random r-regular graph on 2 n vertices is equivalent in a certain sense to a set of r randomly chosen disjoint perfect matchings of the 2 n vertices, as n Βͺ Ο±. This equivalence of two sequences of probabilistic spaces, called contiguity, occurs when all events almo