script/research/event_graph: add benchmark charts for pruning the graphs

script/research/event_graph/benchmarks/benchmarks.md

@@ -1,28 +1,43 @@
-# Benchmarks
+# Introduction 
 
 TODO: paragraph here on what is the event graph. what is the motivation
 
 TODO: paragraph describing how it works from a high level
 
-# Nodes increase with fixed probability of dropping messages  
+![graph](./graph.png)
+
+# Graphs
+
+## Number of nodes increase with fixed probability of dropping messages  
 
 TODO: description here of the graphs
 
-![30 nodes](./f_ni_1.png)
 ![100 nodes](./f_ni_2.png)
 ![500 nodes](./f_ni_3.png)
 
-# Increase probability of dropping messages with fixed number of nodes 
+## Probability of dropping messages increase with fixed number of nodes 
 
 TODO: description here of the graphs
 
-![%20 30 nodes](./f_pi_1.png)
 ![%20 100 nodes](./f_pi_2.png)
 ![%20 500 nodes](./f_pi_3.png)
 
-## The probability reach to 100% for  dropping messages 
+### The probability reach to 100% for dropping messages 
 
 TODO: description here of the graphs
 
 ![%20 200 nodes](./f_pi_4.png)
 
+## Pruning old events
+
+TODO: description here of the graphs
+
+![pruned active pool](./fig_pr_ap.png)
+![unpruned active pool](./fig_unpr_ap.png)
+
+### The synchronization process with pruning the graph from old events
+
+TODO: description here of the graphs
+
+![sync pruned graph](./fig_sync_pr.png)
+