Title
A local central limit theorem for triangles in a random graph.
Abstract
In this paper, we prove a local limit theorem for the distribution of the number of triangles in the Erdos-Renyi random graph G(n, p), where p(0,1) is a fixed constant. Our proof is based on bounding the characteristic function (t) of the number of triangles, and uses several different conditioning arguments for handling different ranges of t. (c) 2016 Wiley Periodicals, Inc. Random Struct. Alg., 48, 732-750, 2016
Year
DOI
Venue
2016
10.1002/rsa.20604
RANDOM STRUCTURES & ALGORITHMS
Keywords
Field
DocType
Random Graphs,local limit theorem,subgraph counts,characteristic function
Perfect graph,Random regular graph,Discrete mathematics,Combinatorics,Central limit theorem,Random graph,Characteristic function (probability theory),struct,Nested triangles graph,Mathematics,Bounding overwatch
Journal
Volume
Issue
ISSN
48.0
4.0
1042-9832
Citations 
PageRank 
References 
1
0.35
4
Authors
2
Name
Order
Citations
PageRank
justin gilmer137516.71
Swastik Kopparty238432.89