Add italiano edge removal algorithm sketch

algorithm/italiano.h

@@ -53,6 +53,32 @@ bool Italiano<T>::query(const T& u, const T& v) {
 template<typename T>
 void Italiano<T>::remove(const T& u, const T& v) {
 
+  for (const auto& w : G.adjMatrix) {
+    // Check if (u,v) edge of T(w) || p(w,v) points to (u,v)
+
+    // If yes => set p(w, v) to point to the next edge (u',v) in Ein(v)
+    // If (u,v) the last edge, then set it to point to null
+
+    // If T(w) contains u' then the new edge reconnects v to T(w)
+    // As this needs to be checked, we set R(w) <- {v}
+
+    // If (u,v) is not edge of T(w) or is the last edge in Ein(v), R(w) <- phi
+
+    // Remove (u,v) from Eout(u) and Ein(v)
+  }
+
+  for (const auto& w : G.adjMatrix) {
+
+    // Check tentative pointers of the vertices in R(w).
+    // While there is a vertex x in R(w), scan the edges in Ein(x), starting
+    // from the edge pointed to by p(w,x), until an edge (u',x) for which
+    // p(w,u') != null is found or Ein(x) is exhausted.
+
+    // If such edge is found, x is removed from R(w).
+    // If the list is exhausted, set p(w,x) to null and M(w,x) to 0
+
+    // Then scan all Eout(x). If (x,x') is tree edge, add x' to R(w)
+  }
 }
 
 } // namespace algo