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The order of the giant component of random hypergraphs
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Behrisch, Michael, Coja-Oghlan, Amin and Kang, Mihyun (2010) The order of the giant component of random hypergraphs. Random Structures and Algorithms, Vol.36 (No.2). pp. 149-184. doi:10.1002/rsa.20282 ISSN 1042-9832.
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Official URL: http://dx.doi.org/10.1002/rsa.20282
Abstract
We establish central and local limit theorems for the number of vertices in the largest component of a random d-uniform hypergraph Hd(n,p) with edge probability p = c/, where c > (d - 1)-1 is a constant. The proof relies on a new, purely probabilistic approach.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Random Structures and Algorithms | ||||
Publisher: | John Wiley & Sons, Inc. | ||||
ISSN: | 1042-9832 | ||||
Official Date: | March 2010 | ||||
Dates: |
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Volume: | Vol.36 | ||||
Number: | No.2 | ||||
Page Range: | pp. 149-184 | ||||
DOI: | 10.1002/rsa.20282 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 20 December 2015 |
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