diff --git a/content.tex b/content.tex
index fbecdbbf..b3b56270 100644
--- a/content.tex
+++ b/content.tex
@@ -54,11 +54,18 @@ This lack of a \ac{spof} makes \ac{p2p} botnets more resilient to take-down atte
 
 Formally, a \ac{p2p} botnet can be modeled as a digraph
 
-\[
-G = (V, E)
-\]
+\begin{align*}
+G &= (V, E)
+\end{align*}
 
 With the set of vertices \(V\) describing the bots in the network and the set of edges \(E\) describing the \enquote{is neighbour of} relationships between bots.
+For a vertex \(v \in V\), the in and out degree \(\deg^{+}\) and \(\deg^{-}\) describe how many bots know \(v\) or are known by \(v\) respectively.
+
+\begin{align*}
+  \deg^{+}(v) &= \abs{\{ u \in V \mid (u, v) \in E \}} \\
+  \deg^{-}(v) &= \abs{\{ u \in V \mid (v, u) \in E \}}
+\end{align*}
+
 For a vertex \(v \in V\), the in degree \(\deg^{+}(v) = \abs{\{ u \in V \mid (u, v) \in E \}}\) and out degree \(\deg^{-}(v) = \abs{\{ u \in V \mid (v, u) \in E \}}\) describe how many bots know \(v\) and how many nodes \(v\) knows respectively.
 
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