diff --git a/Polyline_simplification_2/doc/Polyline_simplification_2/Concepts/PolylineSimplificationVertexBase_2.h b/Polyline_simplification_2/doc/Polyline_simplification_2/Concepts/PolylineSimplificationVertexBase_2.h
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+
+/*!
+\ingroup PkgPolylineSimplification2Concepts
+\cgalConcept
+
+Thr polyline simplification algorithm stores in the vertices
+whether a vertex can be removed, and the cost of the removal.
+
+\cgalRefines `TriangulationVertexBase_2` 
+
+### Types ###
+
+Defines the same types as the `TriangulationVertexBase_2` concept 
+
+\cgalHasModel `CGAL::Polyline_simplification_2::Vertex_base_2<Vb>` 
+
+\sa `TriangulationFaceBase_2` 
+\sa `CGAL::Polyline_constrained_triangulation_2<CDT>` 
+
+*/
+
+class PolylineSimplificationVertexBase_2 {
+public:
+  /// A number type.
+  typedef Hidden_type FT;
+
+/// \name Access Functions 
+/// @{
+
+/*! The Boolean that indicates whether the vertex can be removed.
+*/ 
+bool& unremovable(); 
+
+/*! The cost if the vertex got removed.
+*/ 
+FT& cost(); 
+
+/// @} 
+
+
+}; /* end PolylineSimplificationVertexBase_2 */
+