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# Introduction
`ghypernet` is an OpenSource R package that allows to estimate and work with Generalised Hypergeometric Ensembles of Random Graphs (gHypEG).

`ghypernet` has been developed specifically for the analysis of large networks characterised by a large number of repeated edges.
`ghypernet` has been developed specifically for the analysis of networks characterised by a large number of repeated edges.
It provides efficient methods to perform hypothesis testing and model selection on such data.

The theoretical foundation of this paper, gHypEGs, was developed in the following works:
Explore the provided Vignettes for some examples on how to analyse networks with `ghypernet`.

1. Casiraghi, G., Nanumyan, V., Scholtes, I., Schweitzer, F. (2016) [Generalized Hypergeometric Ensembles: Statistical Hypothesis Testing in Complex Networks.](http://arxiv.org/abs/1607.02441) arXiv Prepr. arXiv1607.02441
2. Casiraghi, G., Nanumyan, V., Scholtes, I., Schweitzer, F. (2017) [From Relational Data to Graphs: Inferring Significant Links Using Generalized Hypergeometric Ensembles](https://link.springer.com/chapter/10.1007/978-3-319-67256-4_11) in Social Informatics. SocInfo 2017 111-120 (Springer Verlag, 2017). doi:10.1007/978-3-319-67256-4_11
3. Casiraghi, G., Nanumyan, V. (2018) [Generalised hypergeometric ensembles of random graphs: the configuration model as an urn problem.](http://arxiv.org/abs/1810.06495) arXiv Prepr. arXiv1810.06495
4. Casiraghi, G. (2018) [Analytical Formulation of the Block-Constrained Configuration Model.](http://arxiv.org/abs/1811.05337) arXiv Prepr. arXiv1811.05337
# Installation
```
# Install ghypernet from CRAN
install.packages("ghypernet")
# Or the development version from GitHub:
devtools::install_github("gi0na/r-ghypernet")
```
# Dependencies
The package uses the library `BiasedUrn` to work with Wallenius' non-central hypergeometric distribution.
Although this is not required, it is recommended to install the `BiasedUrn` R package, increasing the number of 'colors', i.e., the number of dimensions of the distribution.
It can be easily done modifying the _makevar_ file.
In case the `BiasedUrn` library cannot be found, all computations will be performed using the multinomial approximation.

# Installation
You can install this package directly from GitHub.
In R, run the following commands to install the package:
```
install.packages('devtools')
devtools::install_github("gi0na/r-ghypernet")
library(ghypernet)
```
# References
The theoretical foundation of the generalised hypergeometric ensemble, gHypEGs, has been developed in the following works:

Casiraghi, G., Nanumyan, V., Scholtes, I., & Schweitzer, F. (2016). [Generalized Hypergeometric Ensembles: Statistical Hypothesis Testing in Complex Networks.](http://arxiv.org/abs/1607.02441) ArXiv Preprint ArXiv:1607.02441.
Casiraghi, G. (2017). [Multiplex Network Regression: How do relations drive interactions?](http://arxiv.org/abs/1702.02048). ArXiv Preprint ArXiv:1702.02048, 15.
Casiraghi, G., Nanumyan, V., Scholtes, I., & Schweitzer, F. (2017). [From Relational Data to Graphs: Inferring Significant Links Using Generalized Hypergeometric Ensembles](https://doi.org/10.1007/978-3-319-67256-4_11) (Vol. 10540, pp. 111–120). Springer Verlag.
Casiraghi, G., & Nanumyan, V. (2018). [Generalised hypergeometric ensembles of random graphs: the configuration model as an urn problem.](http://arxiv.org/abs/1810.06495) ArXiv Preprint ArXiv:1810.06495.
Casiraghi, G. (2019). [The block-constrained configuration model.](https://doi.org/10.1007/s41109-019-0241-1) Applied Network Science, 4(1), 123.
Brandenberger, L., Casiraghi, G., Nanumyan, V., & Schweitzer, F. (2019). [Quantifying triadic closure in multi-edge social networks.](https://doi.org/10.1145/3341161.3342926) Proceedings of the 2019 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining, 307–310.

# Acknowledgements
The research and development behind `ghypernet` is performed at the Chair of Systems Design, ETH Zürich.
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