Title
The evolution of uniform random planar graphs
Abstract
Let P-n,P-m denote the graph taken uniformly at random from the set of all planar graphs on {1,2,...,n} with exactly m(n) edges. We use counting arguments to investigate the probability that P-n,P-m will contain given components and subgraphs, finding that there is different asymptotic behaviour depending on the ratio m/n.
Year
Venue
Keywords
2010
ELECTRONIC JOURNAL OF COMBINATORICS
planar graph
Field
DocType
Volume
Discrete mathematics,Combinatorics,Power sum symmetric polynomial,Orthogonal polynomials,Classical orthogonal polynomials,Elementary symmetric polynomial,Ring of symmetric functions,Discrete orthogonal polynomials,Complete homogeneous symmetric polynomial,Mathematics,Difference polynomials
Journal
17
Issue
ISSN
Citations 
1.0
1077-8926
2
PageRank 
References 
Authors
0.45
6
1
Name
Order
Citations
PageRank
Chris Dowden154.26