Title
Growing Protean Graphs
Abstract
The web may be viewed as a graph each of whose vertices corresponds to a static HTML web page and each of whose edges corresponds to a hyperlink from one web page to another. Recently, there has been considerable interest in using random graphs to model complex real-world networks to gain an insight into their properties. In this paper we propose an extended version of a new random model of the web graph in which the degree of a vertex depends on its age. We use the differential equation method to obtain basic results on the probability of edges being present. From this we are able to characterize the degree sequence of the model and study its behaviour near the connectivity threshold.
Year
DOI
Venue
2007
10.1080/15427951.2007.10129135
INTERNET MATHEMATICS
Keywords
Field
DocType
degree sequence,web graphs,dierential,con- nectivity,protean graphs,. random graphs,random graph,web pages
Strength of a graph,Discrete mathematics,Combinatorics,Random graph,Line graph,Path (graph theory),Web page,Computer science,Cycle graph,Degree distribution,Multiple edges
Journal
Volume
Issue
ISSN
4
1
1542-7951
Citations 
PageRank 
References 
8
0.65
4
Authors
2
Name
Order
Citations
PageRank
Pawel Pralat123448.16
Nicholas C. Wormald21506230.43