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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: Theoretical maximum for betweenness centralization</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_eigen_tmax {igraph}"><tr><td>centr_eigen_tmax {igraph}</td><td style="text-align: right;">R Documentation</td></tr></table> <h2>Theoretical maximum for betweenness centralization</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_eigen_tmax(graph = NULL, nodes = 0, directed = FALSE, scale = TRUE) </pre> <h3>Arguments</h3> <table summary="R argblock"> <tr valign="top"><td><code>graph</code></td> <td> <p>The input graph. It can also be <code>NULL</code>, if <code>nodes</code> is given.</p> </td></tr> <tr valign="top"><td><code>nodes</code></td> <td> <p>The number of vertices. This is ignored if the graph is given.</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>scale</code></td> <td> <p>Whether to rescale the eigenvector centrality scores, such that the maximum score is one.</p> </td></tr> </table> <h3>Value</h3> <p>Real scalar, the theoretical maximum (unnormalized) graph betweenness centrality score for graphs with given order and other parameters. </p> <h3>See Also</h3> <p>Other centralization related: <code><a href="centr_betw_tmax.html">centr_betw_tmax</a>()</code>, <code><a href="centr_betw.html">centr_betw</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.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_eigen(g, normalized = FALSE)$centralization %>% `/`(centr_eigen_tmax(g)) centr_eigen(g, normalized = TRUE)$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>