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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.

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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.

Citations

44 citations in Web of Science®
36 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1989
Deposited On:13 Apr 2010 12:38
Last Modified:05 Apr 2016 13:29
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)

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