# fit_hrg

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Percentile

##### Fit a hierarchical random graph model

fit_hrg fits a HRG to a given graph. It takes the specified steps number of MCMC steps to perform the fitting, or a convergence criteria if the specified number of steps is zero. fit_hrg can start from a given HRG, if this is given in the hrg argument and the start argument is TRUE.

##### Usage
fit_hrg(graph, hrg = NULL, start = FALSE, steps = 0)
##### Arguments
graph
The graph to fit the model to. Edge directions are ignored in directed graphs.
hrg
A hierarchical random graph model, in the form of an igraphHRG object. fit_hrg allows this to be NULL, in which case a random starting point is used for the fitting.
start
Logical, whether to start the fitting/sampling from the supplied igraphHRG object, or from a random starting point.
steps
The number of MCMC steps to make. If this is zero, then the MCMC procedure is performed until convergence.
##### Value

• fit_hrg returns an igraphHRG object. This is a list with the following members:
• leftVector that contains the left children of the internal tree vertices. The first vertex is always the root vertex, so the first element of the vector is the left child of the root vertex. Internal vertices are denoted with negative numbers, starting from -1 and going down, i.e. the root vertex is -1. Leaf vertices are denoted by non-negative number, starting from zero and up.
• rightVector that contains the right children of the vertices, with the same encoding as the left vector.
• probThe connection probabilities attached to the internal vertices, the first number belongs to the root vertex (i.e. internal vertex -1), the second to internal vertex -2, etc.
• edgesThe number of edges in the subtree below the given internal vertex.
• verticesThe number of vertices in the subtree below the given internal vertex, including itself.

##### References

A. Clauset, C. Moore, and M.E.J. Newman. Hierarchical structure and the prediction of missing links in networks. Nature 453, 98--101 (2008);

A. Clauset, C. Moore, and M.E.J. Newman. Structural Inference of Hierarchies in Networks. In E. M. Airoldi et al. (Eds.): ICML 2006 Ws, Lecture Notes in Computer Science 4503, 1--13. Springer-Verlag, Berlin Heidelberg (2007).

Other hierarchical random graph functions: consensus_tree, hrg.consensus; hrg-methods; hrg.game, sample_hrg; hrg.predict, predict_edges; hrg_tree; hrg, hrg.create; print.igraphHRGConsensus; print.igraphHRG

• fit_hrg
• hrg.fit
##### Examples
## We are not running these examples any more, because they
## take a long time (~15 seconds) to run and this is against the CRAN
## repository policy. Copy and paste them by hand to your R prompt if
## you want to run them.

## A graph with two dense groups
g <- sample_gnp(10, p=1/2) + sample_gnp(10, p=1/2)
hrg <- fit_hrg(g)
hrg

## The consensus tree for it
consensus_tree(g, hrg=hrg, start=TRUE)

## Prediction of missing edges
g2 <- make_full_graph(4) + (make_full_graph(4) - path(1,2))
predict_edges(g2)
Documentation reproduced from package igraph, version 1.0.0, License: GPL (>= 2)

### Community examples

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