Title
A Central Limit Theorem for the Number of Degree-k Vertices in Random Maps.
Abstract
We prove that the number of vertices of given degree in (general or 2-connected) random planar maps satisfies a central limit theorem with mean and variance that are asymptotically linear in the number of edges. The proof relies on an analytic version of the quadratic method and singularity analysis of multivariate generating functions.
Year
DOI
Venue
2012
10.1007/s00453-013-9751-x
Algorithmica
Keywords
DocType
Volume
Planar map,Degree distribution,Central limit theorem
Conference
66
Issue
ISSN
Citations 
4
0178-4617
1
PageRank 
References 
Authors
0.38
12
2
Name
Order
Citations
PageRank
Michael Drmota143854.46
Konstantinos Panagiotou229027.80