Update README, missing benchmarks

README.md

@@ -1,4 +1,4 @@
-# Dynamic Reachability Algorithms [DRA]
+# Reachability algorithms by Roditty and Zwick
 The goal of this project is to implement a collection of dynamic reachability
 algorithms covered in "Improved Dynamic Reachability Algorithms for Directed Graphs"
 by Liam Roditty and Uri Zwick.
@@ -27,32 +27,32 @@ int main() {
     auto hk = new algo::HenzingerKing(G);
     hk->init();
 
-    // Query the dynamic reachability algorithm
-    std::cout << "Path from 4 to 8 exists: " << hk.query(4, 8) << '\n';
-
     // Remove edges
     std::vector<std::pair<int, int>> delEdges( {4, 6}, {5, 6}, {3, 1} );
     for (const auto& [u, v] : delEdges)
-        hk.remove(u, v);
-
-    std::cout << "Path from 4 to 8 exists: " << dr.query(4, 8);
+      hk.remove(u, v);
 
     // Insert edges
     std::pair<int, std::vector<int>> addEdges( { 1 , {2, 3, 4, 5} } );
-    hk.insert(u, { v });
+    hk.insert(u, addEdges);
 
-    std::cout << "Path from 4 to 8 exists: " << dr.query(4, 8);
+    // Search query
+    std::cout << "Path from 4 to 8 exists: " << hk.query(4, 8) << '\n';
 
     return 0;    
 }
 ```
 
-## Run Locally
+## Run locally
 Clone the repository with submodules (doctest/nanobench):
 
 ```bash
 git clone --recurse-submodules https://github.com/stefiosif/dynamic-reachability-algorithms
+cd dynamic-reachability-algorithms
 ```
 
+# Benchmark
+
+
 ## References
-* [Improved Dynamic Reachability Algorithms for Directed Graphs](www.google.com)
+* [Improved Dynamic Reachability Algorithms for Directed Graphs](https://ieeexplore.ieee.org/document/1181993)