Title
Asymptotic Distribution of Parameters in Random Maps.
Abstract
We consider random rooted maps without regard to their genus, with fixed large number of edges, and address the problem of limiting distributions for six different parameters: vertices, leaves, loops, root edges, root isthmus, and root vertex degree. Each of these leads to a different limiting distribution, varying from (discrete) geometric and Poisson distributions to different continuous ones: Beta, normal, uniform, and an unusual distribution whose moments are characterised by a recursive triangular array.
Year
Venue
Field
2018
AofA
Discrete mathematics,Combinatorics,Vertex (geometry),Triangular array,Degree (graph theory),Poisson distribution,Mathematics,Limiting,Recursion,Asymptotic distribution
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
5
4
Name
Order
Citations
PageRank
Olivier Bodini18222.10
Julien Courtiel200.68
Sergey Dovgal301.35
Hsien-Kuei Hwang436538.02