analysis-repos.texw

<<echo = False>>=
import igraph
import numpy as np
import collections
from matrix2latex import matrix2latex

g = igraph.read('repositories.gml').components().giant()
@

Central repositories, defined by degree and betweenness, both weighted and
unweighted, are presented in table~\ref{tab:topnodes}.

<<>>=
g.vs['degree']   = g.degree()
g.vs['degreew']  = g.strength(weights='weight')
g.vs['between']  = g.betweenness()
g.vs['betweenw'] = g.betweenness(weights='weight')

top_degree   = g.vs[reversed(np.argsort(g.vs['degree'])[-5:].tolist())]
top_degreew  = g.vs[reversed(np.argsort(g.vs['degreew'])[-5:].tolist())]
top_between  = g.vs[reversed(np.argsort(g.vs['between'])[-5:].tolist())]
top_betweenw = g.vs[reversed(np.argsort(g.vs['betweenw'])[-5:].tolist())]
@

\begin{table}[htbp]
\caption{Top nodes (repositories) by various measures}
\label{tab:topnodes}
\begin{subtable}{0.5\textwidth}
<%= matrix2latex(top_degree['degree'], None, 'center', 'tabular',
    alignment='r',
    caption="Unweighted degree",
    label="degree",
    headerColumn = top_degree['label']) %>
\end{subtable}
~
\begin{subtable}{0.5\textwidth}
<%= matrix2latex(top_degreew['degreew'], None, 'center', 'tabular',
    alignment='r',
    format='$%.1f$',
    caption="Weighted degree",
    label="degreew",
    headerColumn = top_degreew['label']) %>
\end{subtable}
\\[1em]
\begin{subtable}{0.5\textwidth}
<%= matrix2latex(top_between['between'], None, 'center', 'tabular',
    alignment='r',
    format='$%.1f$',
    caption="Unweighted betweenness",
    label="between",
    headerColumn = top_between['label']) %>
\end{subtable}
~
\begin{subtable}{0.5\textwidth}
<%= matrix2latex(top_betweenw['betweenw'], None, 'center', 'tabular',
    alignment='r',
    format='$%.1f$',
    caption="Weighted betweenness",
    label="betweenw",
    headerColumn = top_betweenw['label']) %>
\end{subtable}
\end{table}