diff --git a/Data/frontier.csv b/Data/frontier.csv
new file mode 100644
index 0000000..f5a5891
--- /dev/null
+++ b/Data/frontier.csv
@@ -0,0 +1,3047 @@
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\ No newline at end of file
diff --git a/Data/frontier.ods b/Data/frontier.ods
new file mode 100644
index 0000000..73e7f8e
Binary files /dev/null and b/Data/frontier.ods differ
diff --git a/Data/frontrestart.csv b/Data/frontrestart.csv
new file mode 100644
index 0000000..a780d0a
--- /dev/null
+++ b/Data/frontrestart.csv
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diff --git a/Schrick-Noah_AG-CG-CR.pdf b/Schrick-Noah_AG-CG-CR.pdf
index 6c6724f..d1995ff 100644
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diff --git a/Schrick-Noah_AG-CG-CR.tex b/Schrick-Noah_AG-CG-CR.tex
index 7b9b6ee..9d77b01 100644
--- a/Schrick-Noah_AG-CG-CR.tex
+++ b/Schrick-Noah_AG-CG-CR.tex
@@ -134,7 +134,7 @@ The restarting process for attack and compliance graph generation requires only
 \section{Results}
 Results were collected to measure the checkpointing time as a function of the instance size in bytes, as well as the frontier size in bytes. The restart results were collected to measure the time taken to restart as a function of the frontier size in bytes. In order to mitigate the non-deterministic effects of networking as much as possible, the checkpointing and restarting processes were called by a compute node that was also running the PostgreSQL instance. 
 
-Figure \ref{fig:inst-time} displays the time taken to checkpoint as the instance size grows. The size of the instance was measured in bytes, to allow for abstracting the number of items in the instance and the size of each item. This figure demonstrates that as the instance grows, the time taken to checkpoint remains 
+Figure \ref{fig:inst-time} displays the time taken to checkpoint as the instance size grows. The size of the instance was measured in bytes to allow for abstracting the number of items in the instance and the size of each item. This figure demonstrates that as the instance grows, the time taken to checkpoint remains linear. This figure includes two trendlines - one for a linear fit, and one for a logarithmic fit. Though the logarithmic fit appears to match the data better than the linear fit when the instance size is less than 20MB, the accuracy begins to decrease after this size. Based on the timing data obtained, the logarithmic fit predicts higher than the actual data for smaller instances, and the linear fit predicts lower than the actual data.
 
 \begin{figure}[htp]
     \centering
@@ -143,22 +143,22 @@ Figure \ref{fig:inst-time} displays the time taken to checkpoint as the instance
         \label{fig:inst-time}
 \end{figure}
 
-Figure \ref{fig:front-chk-time} displays the time taken to checkpoint as the frontier size grows. Similar to the instance size, the frontier was also measured in bytes for consistency. This figure illustrates that as the frontier grows, the checkpoint time also remains
+Figure \ref{fig:front-chk-time} displays the time taken to checkpoint as the frontier size grows. Similar to the instance size, the frontier was also measured in bytes for consistency. This figure illustrates that as the frontier grows, the checkpoint time also remains linear. Compared to the time taken to checkpoint the instance, the frontier requires less time. Since the graph instance contains various topological information such as edges and edge labels, additional time is required compared to the frontier.
 
 \begin{figure}[htp]
     \centering
     \includegraphics[width=\linewidth]{"./images/frontier_checkpoint_time.png"}
         \caption{Time Taken to Checkpoint as the Size of the Frontier Grows}
-        \label{fig:inst-time}
+        \label{fig:front-chk-time}
 \end{figure}
 
-Figure \ref{fig:front-rest-time} displays the time taken to restart as the frontier size grows. The frontier was again measured in bytes. This figure, like the previous two, illustrates that the restart time remains X as the size of the frontier grows.
+Figure \ref{fig:front-rest-time} displays the time taken to restart as the frontier size grows. The frontier was again measured in bytes. This figure illustrates that the restart time remains linear as the size of the frontier grows. This figure shows that there is less time taken to restart due to the limited amount of information needed to restart compared to the information needed to checkpoint. Since the checkpointing process involves saving the graph instance and the frontier, extra time is required compared to the restart process which only requires the queue of unexplored states.
 
 \begin{figure}[htp]
     \centering
     \includegraphics[width=\linewidth]{"./images/frontier_restart_time.png"}
         \caption{Time Taken to Restart as the Size of the Frontier Grows}
-        \label{fig:inst-time}
+        \label{fig:front-rest-time}
 \end{figure}
 
 \section{Conclusions and Future Work}
diff --git a/images/frontier_checkpoint_time.png b/images/frontier_checkpoint_time.png
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