diff --git a/lemon/bellman_ford.h b/lemon/bellman_ford.h
--- a/lemon/bellman_ford.h
+++ b/lemon/bellman_ford.h
@@ -28,27 +28,24 @@
 #include <lemon/core.h>
 #include <lemon/error.h>
 #include <lemon/maps.h>
-#include <lemon/tolerance.h>
 #include <lemon/path.h>
 
 #include <limits>
 
 namespace lemon {
 
-  /// \brief Default operation traits for the BellmanFord algorithm class.
+  /// \brief Default OperationTraits for the BellmanFord algorithm class.
   ///
   /// This operation traits class defines all computational operations
   /// and constants that are used in the Bellman-Ford algorithm.
   /// The default implementation is based on the \c numeric_limits class.
   /// If the numeric type does not have infinity value, then the maximum
   /// value is used as extremal infinity value.
-  ///
-  /// \see BellmanFordToleranceOperationTraits
   template <
     typename V,
     bool has_inf = std::numeric_limits<V>::has_infinity>
   struct BellmanFordDefaultOperationTraits {
-    /// \brief Value type for the algorithm.
+    /// \e
     typedef V Value;
     /// \brief Gives back the zero value of the type.
     static Value zero() {
@@ -87,51 +84,6 @@
     }
   };
 
-  /// \brief Operation traits for the BellmanFord algorithm class
-  /// using tolerance.
-  ///
-  /// This operation traits class defines all computational operations
-  /// and constants that are used in the Bellman-Ford algorithm.
-  /// The only difference between this implementation and
-  /// \ref BellmanFordDefaultOperationTraits is that this class uses
-  /// the \ref Tolerance "tolerance technique" in its \ref less()
-  /// function.
-  ///
-  /// \tparam V The value type.
-  /// \tparam eps The epsilon value for the \ref less() function.
-  /// By default, it is the epsilon value used by \ref Tolerance
-  /// "Tolerance<V>".
-  ///
-  /// \see BellmanFordDefaultOperationTraits
-#ifdef DOXYGEN
-  template <typename V, V eps>
-#else
-  template <
-    typename V,
-    V eps = Tolerance<V>::def_epsilon>
-#endif
-  struct BellmanFordToleranceOperationTraits {
-    /// \brief Value type for the algorithm.
-    typedef V Value;
-    /// \brief Gives back the zero value of the type.
-    static Value zero() {
-      return static_cast<Value>(0);
-    }
-    /// \brief Gives back the positive infinity value of the type.
-    static Value infinity() {
-      return std::numeric_limits<Value>::infinity();
-    }
-    /// \brief Gives back the sum of the given two elements.
-    static Value plus(const Value& left, const Value& right) {
-      return left + right;
-    }
-    /// \brief Gives back \c true only if the first value is less than
-    /// the second.
-    static bool less(const Value& left, const Value& right) {
-      return left + eps < right;
-    }
-  };
-
   /// \brief Default traits class of BellmanFord class.
   ///
   /// Default traits class of BellmanFord class.
@@ -155,8 +107,7 @@
     ///
     /// It defines the used operations and the infinity value for the
     /// given \c Value type.
-    /// \see BellmanFordDefaultOperationTraits,
-    /// BellmanFordToleranceOperationTraits
+    /// \see BellmanFordDefaultOperationTraits
     typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;
 
     /// \brief The type of the map that stores the last arcs of the
@@ -886,8 +837,7 @@
     ///
     /// It defines the used operations and the infinity value for the
     /// given \c Value type.
-    /// \see BellmanFordDefaultOperationTraits,
-    /// BellmanFordToleranceOperationTraits
+    /// \see BellmanFordDefaultOperationTraits
     typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;
 
     /// \brief The type of the map that stores the last
diff --git a/test/bellman_ford_test.cc b/test/bellman_ford_test.cc
--- a/test/bellman_ford_test.cc
+++ b/test/bellman_ford_test.cc
@@ -104,7 +104,6 @@
     BF::SetPredMap<concepts::ReadWriteMap<Node,Arc> >
       ::SetDistMap<concepts::ReadWriteMap<Node,Value> >
       ::SetOperationTraits<BellmanFordDefaultOperationTraits<Value> >
-      ::SetOperationTraits<BellmanFordToleranceOperationTraits<Value, 0> >
       ::Create bf_test(gr,length);
 
     LengthMap length_map;