Title
The order of the giant component of random hypergraphs
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-$\left(\matrix{n-1 \cr d-1 }\right)$, where c (d - 1)-1 is a constant. The proof relies on a new, purely probabilistic approach. © 2009 Wiley Periodicals, Inc. Random Struct. Alg., 2010
Year
DOI
Venue
2010
10.1002/rsa.v36:2
Random Struct. Algorithms
Keywords
Field
DocType
stein s method,giant component,convergence in distribution,asymptotic distribution,random graph
Discrete mathematics,Convergence of random variables,Combinatorics,Random graph,Vertex (geometry),Matrix (mathematics),Hypergraph,Constraint graph,Giant component,Probabilistic logic,Mathematics
Journal
Volume
Issue
ISSN
36
2
1042-9832
Citations 
PageRank 
References 
7
0.73
12
Authors
3
Name
Order
Citations
PageRank
Michael Behrisch1498.77
Amin Coja-Oghlan254347.25
Mihyun Kang316329.18