internodal-connections.tex

\begin{equation} \label{eq:internodalconnections}
\Bigg(\prod_{i=0}^{n}\bigg(1 - \frac{1}{N-1-i}\bigg)\Bigg)^{N-1}
\qquad\parbox{4.0cm}{\footnotesize$\begin{aligned} N &= \text{ network membership}\\[-1.0ex] n &= \text{ connections per node}\end{aligned}$}
\end{equation}

\begin{figure}[h!]
	\begin{center}
		\begin{tikzpicture}
		\begin{semilogyaxis}[
			compat=1.3,
			width=0.8\linewidth, % Scale the plot to \linewidth
			height=0.6\linewidth,
			grid=major, % Display a grid
			grid style={dashed,gray!30}, % Set the style
			xlabel=Number of nodes in network,
			ylabel=Probability,
			xmin=0, xmax=3000, xtick={0,500,1000,1500,2000,2500,3000}
		]
		\addplot[blue] 
		table[x=column 1,y=column 2,col sep=comma] {inc-data.csv}; 
		\end{semilogyaxis}
		\end{tikzpicture}
		\caption{Probability of a node not being selected by any node for internodal communications (where $n=20$)}
		\label{fig:internodalconnections}
	\end{center}
\end{figure}