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
2-factors in random regular graphs
β Scribed by Robalewska, Hanna D.
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 474 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
In this paper the expectation and variance of the number of 2-factors in random r-regular graphs for any fixed r 2 3 is analyzed and the asymptotic distribution of this variable is determined.
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