Title
Combinatorial miller–hagberg algorithm for randomization of dense networks
Abstract
We propose a slightly revised Miller-Hagberg (MH) algorithm that efficiently generates a random network from a given expected degree sequence. The revision was to replace the approximated edge probability between a pair of nodes with a combinatorically calculated edge probability that better captures the likelihood of edge presence especially, where edges are dense. The computational complexity of this combinatorial MH algorithm is still in the same order as the original one. We evaluated the proposed algorithm through several numerical experiments. The results demonstrated that the proposed algorithm was particularly good at accurately representing high-degree nodes in dense, heterogeneous networks. This algorithm may be a useful alternative to other more established network randomization methods, given that the data are increasingly becoming larger and denser in today's network science research.
Year
DOI
Venue
2017
10.1007/978-3-319-73198-8_6
Springer Proceedings in Complexity
Field
DocType
Volume
Network science,Random graph,Algorithm,Degree (graph theory),Heterogeneous network,Mathematics,Computational complexity theory
Journal
abs/1710.02733
Issue
Citations 
PageRank 
219279
0
0.34
References 
Authors
4
1
Name
Order
Citations
PageRank
Hiroki Sayama131949.14