A scalable null model for directed graphs matching all degree distributions: In, out, and reciprocal
@article{Durak2013ASN, title={A scalable null model for directed graphs matching all degree distributions: In, out, and reciprocal}, author={N. Durak and T. Kolda and Ali Pinar and Seshadhri Comandur}, journal={2013 IEEE 2nd Network Science Workshop (NSW)}, year={2013}, pages={23-30} }
Degree distributions are arguably the most important property of real world networks. The classic edge configuration model or Chung-Lu model can generate an undirected graph with any desired degree distribution. This serves as a good null model to compare algorithms or perform experimental studies. Furthermore, there are scalable algorithms that implement these models and they are invaluable in the study of graphs. However, networks in the real-world are often directed, and have a significant… CONTINUE READING
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References
SHOWING 1-10 OF 49 REFERENCES
Influence of reciprocal edges on degree distribution and degree correlations.
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2009
- 26
- PDF
A Scalable Generative Graph Model with Community Structure
- Computer Science, Physics
- SIAM J. Sci. Comput.
- 2014
- 117
- PDF
Community structure and scale-free collections of Erdös-Rényi graphs
- Mathematics, Computer Science
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2012
- 209
- PDF
Graphs over time: densification laws, shrinking diameters and possible explanations
- Mathematics, Computer Science
- KDD '05
- 2005
- 2,137
- PDF
An In-depth Study of Stochastic Kronecker Graphs
- Mathematics, Computer Science
- 2011 IEEE 11th International Conference on Data Mining
- 2011
- 53
- PDF
Kronecker Graphs: An Approach to Modeling Networks
- Mathematics, Computer Science
- J. Mach. Learn. Res.
- 2010
- 821
- Highly Influential
- PDF
Scalable modeling of real graphs using Kronecker multiplication
- Mathematics, Computer Science
- ICML '07
- 2007
- 230
- PDF
The Markov Chain Simulation Method for Generating Connected Power Law Random Graphs
- Mathematics, Computer Science
- ALENEX
- 2003
- 136
- PDF