diff --git a/lemon/circulation.h b/lemon/circulation.h
--- a/lemon/circulation.h
+++ b/lemon/circulation.h
@@ -72,7 +72,11 @@
     /// The type of the map that stores the flow values.
     /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap"
     /// concept.
+#ifdef DOXYGEN
+    typedef GR::ArcMap<Value> FlowMap;
+#else
     typedef typename Digraph::template ArcMap<Value> FlowMap;
+#endif
 
     /// \brief Instantiates a FlowMap.
     ///
@@ -87,9 +91,12 @@
     ///
     /// The elevator type used by the algorithm.
     ///
-    /// \sa Elevator
-    /// \sa LinkedElevator
+    /// \sa Elevator, LinkedElevator
+#ifdef DOXYGEN
+    typedef lemon::Elevator<GR, GR::Node> Elevator;
+#else
     typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator;
+#endif
 
     /// \brief Instantiates an Elevator.
     ///
@@ -450,25 +457,27 @@
       return *_level;
     }
 
-    /// \brief Sets the tolerance used by algorithm.
+    /// \brief Sets the tolerance used by the algorithm.
     ///
-    /// Sets the tolerance used by algorithm.
-    Circulation& tolerance(const Tolerance& tolerance) const {
+    /// Sets the tolerance object used by the algorithm.
+    /// \return <tt>(*this)</tt>
+    Circulation& tolerance(const Tolerance& tolerance) {
       _tol = tolerance;
       return *this;
     }
 
     /// \brief Returns a const reference to the tolerance.
     ///
-    /// Returns a const reference to the tolerance.
+    /// Returns a const reference to the tolerance object used by
+    /// the algorithm.
     const Tolerance& tolerance() const {
-      return tolerance;
+      return _tol;
     }
 
     /// \name Execution Control
     /// The simplest way to execute the algorithm is to call \ref run().\n
-    /// If you need more control on the initial solution or the execution,
-    /// first you have to call one of the \ref init() functions, then
+    /// If you need better control on the initial solution or the execution,
+    /// you have to call one of the \ref init() functions first, then
     /// the \ref start() function.
 
     ///@{