Barbour, A D; Karonski, A (1989). A central limit theorem for decomposable random variables with applications to random graphs. Journal of Combinatorial Theory. Series B, 47(2):125-145.
Full text not available from this repository.
Abstract
The application of Stein's method of obtaining rates of convergence to the normal distribution is illustrated in the context of random graph theory. Problems which exhibit a dissociated structure and problems which do not are considered. Results are obtained for the number of copies of a given graph G in K(n, p), for the number of induced copies of G, for the number of isolated trees of order k ≥ 2, for the number of vertices of degree d ≥ 1, and for the number of isolated vertices.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| DDC: | 510 Mathematics |
| Language: | English |
| Date: | 1989 |
| Deposited On: | 13 Apr 2010 14:38 |
| Last Modified: | 23 Nov 2012 13:34 |
| Publisher: | Elsevier |
| ISSN: | 0095-8956 |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | 10.1016/0095-8956(89)90014-2 |
| Related URLs: | http://user.math.uzh.ch/barbour/pub/Barbour/BJansonKaronskiRucinski.pdf (Author) |
| WoS Citation Count: | 28 |
Users (please log in): suggest update or correction for this item
Repository Staff Only: item control page
