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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><title>R: Centralize a graph according to the betweenness of vertices</title> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <link rel="stylesheet" type="text/css" href="R.css" /> </head><body> <table width="100%" summary="page for centr_betw {igraph}"><tr><td>centr_betw {igraph}</td><td style="text-align: right;">R Documentation</td></tr></table> <h2>Centralize a graph according to the betweenness of vertices</h2> <h3>Description</h3> <p>See <code><a href="centralize.html">centralize</a></code> for a summary of graph centralization. </p> <h3>Usage</h3> <pre> centr_betw(graph, directed = TRUE, nobigint = TRUE, normalized = TRUE) </pre> <h3>Arguments</h3> <table summary="R argblock"> <tr valign="top"><td><code>graph</code></td> <td> <p>The input graph.</p> </td></tr> <tr valign="top"><td><code>directed</code></td> <td> <p>logical scalar, whether to use directed shortest paths for calculating betweenness.</p> </td></tr> <tr valign="top"><td><code>nobigint</code></td> <td> <p>Logical scalar, whether to use big integers for the betweenness calculation. This argument is deprecated in igraph 1.3 and will be removed in igraph 1.4.</p> </td></tr> <tr valign="top"><td><code>normalized</code></td> <td> <p>Logical scalar. Whether to normalize the graph level centrality score by dividing by the theoretical maximum.</p> </td></tr> </table> <h3>Value</h3> <p>A named list with the following components: </p> <table summary="R valueblock"> <tr valign="top"><td><code>res</code></td> <td> <p>The node-level centrality scores.</p> </td></tr> <tr valign="top"><td><code>centralization</code></td> <td> <p>The graph level centrality index.</p> </td></tr> <tr valign="top"><td><code>theoretical_max</code></td> <td> <p>The maximum theoretical graph level centralization score for a graph with the given number of vertices, using the same parameters. If the <code>normalized</code> argument was <code>TRUE</code>, then the result was divided by this number.</p> </td></tr> </table> <h3>See Also</h3> <p>Other centralization related: <code><a href="centr_betw_tmax.html">centr_betw_tmax</a>()</code>, <code><a href="centr_clo_tmax.html">centr_clo_tmax</a>()</code>, <code><a href="centr_clo.html">centr_clo</a>()</code>, <code><a href="centr_degree_tmax.html">centr_degree_tmax</a>()</code>, <code><a href="centr_degree.html">centr_degree</a>()</code>, <code><a href="centr_eigen_tmax.html">centr_eigen_tmax</a>()</code>, <code><a href="centr_eigen.html">centr_eigen</a>()</code>, <code><a href="centralize.html">centralize</a>()</code> </p> <h3>Examples</h3> <pre> # A BA graph is quite centralized g <- sample_pa(1000, m = 4) centr_degree(g)$centralization centr_clo(g, mode = "all")$centralization centr_betw(g, directed = FALSE)$centralization centr_eigen(g, directed = FALSE)$centralization </pre> <hr /><div style="text-align: center;">[Package <em>igraph</em> version 1.3.5 <a href="00Index.html">Index</a>]</div> </body></html>