diff --git a/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Linear_cell_complex_constructors.h b/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Linear_cell_complex_constructors.h
index b91112d1dff..41b6e029142 100644
--- a/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Linear_cell_complex_constructors.h
+++ b/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Linear_cell_complex_constructors.h
@@ -28,15 +28,15 @@ Here a small example:
 \sa `CGAL::polyhedron_3_to_lcc<LCC,Polyhedron>`
 */
 template<class LCC>
-typename LCC::Dart_descriptor plane_graph_to_lcc(LCC& lcc,
+typename LCC::Dart_descriptor read_plane_graph_in_lcc(LCC& lcc,
 std::istream& ais);
 
 /*!
 \ingroup PkgLinearCellComplexConstructions
-\deprecated Use `plane_graph_to_lcc()` instead.
+\deprecated Use `read_plane_graph_in_lcc()` instead.
 */
 template<class LCC>
-[[deprecated("Use plane_graph_to_lcc instead")]]
+[[deprecated("Use read_plane_graph_in_lcc instead")]]
 typename LCC::Dart_descriptor import_from_plane_graph(LCC& lcc, std::istream& ais);
 
 } /* namespace CGAL */
diff --git a/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Polyhedron_3_to_lcc.h b/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Polyhedron_3_to_lcc.h
index ce0dc47401f..88660898143 100644
--- a/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Polyhedron_3_to_lcc.h
+++ b/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Polyhedron_3_to_lcc.h
@@ -5,7 +5,7 @@ namespace CGAL{
 Imports `apoly` (a `Polyhedron_3`) into `lcc`, a model of the `LinearCellComplex` concept. Objects are added in `lcc`, existing darts are not modified. Returns a dart created during the import.
 \pre \link GenericMap::dimension `LCC::dimension`\endlink \f$ \geq\f$ 2 and \link LinearCellComplex::ambient_dimension `LCC::ambient_dimension`\endlink==3.
 
-\sa `CGAL::plane_graph_to_lcc<LCC>` 
+\sa `CGAL::read_plane_graph_in_lcc<LCC>` 
 \sa `CGAL::triangulation_3_to_lcc<LCC,Triangulation>`
 */
 template<class LCC,class Polyhedron>
diff --git a/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Triangulation_3_to_lcc.h b/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Triangulation_3_to_lcc.h
index aa86e5e6ffa..4234cc98cab 100644
--- a/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Triangulation_3_to_lcc.h
+++ b/Linear_cell_complex/doc/Linear_cell_complex/CGAL/Triangulation_3_to_lcc.h
@@ -8,7 +8,7 @@ Objects are added in `lcc`, existing darts are not modified. Returns a dart crea
 \pre \link GenericMap::dimension `LCC::dimension`\endlink \f$ \geq\f$ 3 and
       \link LinearCellComplex::ambient_dimension `LCC::ambient_dimension`\endlink==3.
 
-\sa `CGAL::plane_graph_to_lcc<LCC>` 
+\sa `CGAL::read_plane_graph_in_lcc<LCC>` 
 \sa `CGAL::polyhedron_3_to_lcc<LCC,Polyhedron>` 
 */
 
diff --git a/Linear_cell_complex/doc/Linear_cell_complex/Concepts/LinearCellComplexTraits.h b/Linear_cell_complex/doc/Linear_cell_complex/Concepts/LinearCellComplexTraits.h
index e6a6f767393..391c1ad8ece 100644
--- a/Linear_cell_complex/doc/Linear_cell_complex/Concepts/LinearCellComplexTraits.h
+++ b/Linear_cell_complex/doc/Linear_cell_complex/Concepts/LinearCellComplexTraits.h
@@ -64,7 +64,7 @@ which constructs a vector as the difference of points `p2-p1`, and
 \link LinearCellComplexTraits::Vector ` Vector `\endlink `operator() (const CGAL::Origin&, const ` \link Point ` Point`\endlink`& p)`
 which constructs a vector as the difference of point `p` and a point at the origin
 (used in \link CGAL::barycenter `barycenter`\endlink
-and `CGAL::plane_graph_to_lcc`).
+and `CGAL::read_plane_graph_in_lcc`).
 typedef unspecified_type Construct_vector;
 
 /*!
@@ -103,7 +103,7 @@ a model of \link Kernel::Direction_2 `Direction_2`\endlink.
 typedef unspecified_type Direction_2;
 
 /*!
-a model of \link Kernel::ConstructDirection_2 `ConstructDirection_2`\endlink (used in `CGAL::plane_graph_to_lcc`).
+a model of \link Kernel::ConstructDirection_2 `ConstructDirection_2`\endlink (used in `CGAL::read_plane_graph_in_lcc`).
 */
 typedef unspecified_type Construct_direction_2;
 
diff --git a/Linear_cell_complex/doc/Linear_cell_complex/Linear_cell_complex.txt b/Linear_cell_complex/doc/Linear_cell_complex/Linear_cell_complex.txt
index 7d2db0cbfd7..de286dedf78 100644
--- a/Linear_cell_complex/doc/Linear_cell_complex/Linear_cell_complex.txt
+++ b/Linear_cell_complex/doc/Linear_cell_complex/Linear_cell_complex.txt
@@ -109,7 +109,7 @@ There are two functions allowing to build a linear cell complex from two other \
 <LI>\link ::polyhedron_3_to_lcc `polyhedron_3_to_lcc(lcc,ap)`\endlink: adds in `lcc` all the cells present in `ap`, a `Polyhedron_3`.
 </UL>
 
-Lastly, the function \link ::plane_graph_to_lcc `plane_graph_to_lcc(lcc,ais)`\endlink adds in `lcc` all the cells reconstructed from the planar graph read in `ais`, a `std::istream` (see the \link ::plane_graph_to_lcc `reference manual`\endlink for the file format).
+Lastly, the function \link ::read_plane_graph_in_lcc `read_plane_graph_in_lcc(lcc,ais)`\endlink adds in `lcc` all the cells reconstructed from the planar graph read in `ais`, a `std::istream` (see the \link ::read_plane_graph_in_lcc `reference manual`\endlink for the file format).
 
 \subsection Linear_cell_complexModificationOperations Modification Operations
 \anchor ssecmodifop
diff --git a/Linear_cell_complex/doc/Linear_cell_complex/PackageDescription.txt b/Linear_cell_complex/doc/Linear_cell_complex/PackageDescription.txt
index 0a521ff5a3c..f0f70d53797 100644
--- a/Linear_cell_complex/doc/Linear_cell_complex/PackageDescription.txt
+++ b/Linear_cell_complex/doc/Linear_cell_complex/PackageDescription.txt
@@ -62,7 +62,7 @@
 
 \cgalCRPSection{Global Functions}
 \cgalCRPSubsection{Constructions for Linear Cell Complex}
-- `CGAL::plane_graph_to_lcc<LCC>` (formerly `import_from_plane_graph`)
+- `CGAL::read_plane_graph_in_lcc<LCC>` (formerly `import_from_plane_graph`)
 - `CGAL::triangulation_3_to_lcc<LCC,Triangulation>` (formerly `import_from_triangulation_3`)
 - `CGAL::polyhedron_3_to_lcc<LCC,Polyhedron>` (formerly `import_from_polyhedron_3`)
 
diff --git a/Linear_cell_complex/examples/Linear_cell_complex/CMakeLists.txt b/Linear_cell_complex/examples/Linear_cell_complex/CMakeLists.txt
index e9604793e4b..d5b66adf6fa 100644
--- a/Linear_cell_complex/examples/Linear_cell_complex/CMakeLists.txt
+++ b/Linear_cell_complex/examples/Linear_cell_complex/CMakeLists.txt
@@ -24,7 +24,7 @@ create_single_source_cgal_program(
   "linear_cell_complex_3_with_colored_vertices.cpp")
 create_single_source_cgal_program("linear_cell_complex_3_with_mypoint.cpp")
 create_single_source_cgal_program("linear_cell_complex_4.cpp")
-create_single_source_cgal_program("plane_graph_to_lcc_2.cpp")
+create_single_source_cgal_program("read_plane_graph_in_lcc_2.cpp")
 create_single_source_cgal_program("voronoi_2.cpp")
 create_single_source_cgal_program("voronoi_3.cpp")
 
diff --git a/Linear_cell_complex/examples/Linear_cell_complex/README.txt b/Linear_cell_complex/examples/Linear_cell_complex/README.txt
index e461312f2dd..9184123bfeb 100644
--- a/Linear_cell_complex/examples/Linear_cell_complex/README.txt
+++ b/Linear_cell_complex/examples/Linear_cell_complex/README.txt
@@ -8,7 +8,7 @@ Examples for Linear_cell_complex package:
   Three "basic" examples, detailed in the user manual.
 
 
-* plane_graph_to_lcc_2.cpp
+* read_plane_graph_in_lcc_2.cpp
 
   Program allowing to transform a planar graph into a 2D linear cell complex.
 
diff --git a/Linear_cell_complex/examples/Linear_cell_complex/plane_graph_to_lcc_2.cpp b/Linear_cell_complex/examples/Linear_cell_complex/read_plane_graph_in_lcc_2.cpp
similarity index 97%
rename from Linear_cell_complex/examples/Linear_cell_complex/plane_graph_to_lcc_2.cpp
rename to Linear_cell_complex/examples/Linear_cell_complex/read_plane_graph_in_lcc_2.cpp
index 4aa82742a06..c6ef3bac676 100644
--- a/Linear_cell_complex/examples/Linear_cell_complex/plane_graph_to_lcc_2.cpp
+++ b/Linear_cell_complex/examples/Linear_cell_complex/read_plane_graph_in_lcc_2.cpp
@@ -42,7 +42,7 @@ int main(int narg, char** argv)
 
   std::ifstream is(filename.c_str());
   std::cout<<"Import plane graph from "<<filename<<std::endl;
-  CGAL::plane_graph_to_lcc(lcc, is);
+  CGAL::read_plane_graph_in_lcc(lcc, is);
 
   // Display the lcc characteristics.
   std::cout<<"LCC characteristics:"<<std::endl<<"  ";
diff --git a/Linear_cell_complex/include/CGAL/Linear_cell_complex_constructors.h b/Linear_cell_complex/include/CGAL/Linear_cell_complex_constructors.h
index cfa7fc077cd..91fb21c262f 100644
--- a/Linear_cell_complex/include/CGAL/Linear_cell_complex_constructors.h
+++ b/Linear_cell_complex/include/CGAL/Linear_cell_complex_constructors.h
@@ -36,7 +36,7 @@ namespace CGAL {
    * Imports a plane-embedded graph from a list of points and edges represented as pairs of vertex indices
    */
   template< class LCC >
-  typename LCC::Dart_descriptor plane_graph_to_lcc(LCC& alcc,
+  typename LCC::Dart_descriptor read_plane_graph_in_lcc(LCC& alcc,
                                                    const std::vector<typename LCC::Point>& vertices,
                                                    const std::vector<size_t>& edge_indices)
   {
@@ -131,13 +131,13 @@ namespace CGAL {
   }
 
 template< class LCC >
-[[deprecated("Use plane_graph_to_lcc instead")]]
+[[deprecated("Use read_plane_graph_in_lcc instead")]]
 typename LCC::Dart_descriptor
 import_from_plane_graph(LCC& alcc,
                         const std::vector<typename LCC::Point>& vertices,
                         const std::vector<size_t>& edge_indices)
 {
-  return plane_graph_to_lcc(alcc, vertices, edge_indices);
+  return read_plane_graph_in_lcc(alcc, vertices, edge_indices);
 }
 
   /**
@@ -148,7 +148,7 @@ import_from_plane_graph(LCC& alcc,
    * @return A dart created during the conversion.
    */
   template< class LCC >
-  typename LCC::Dart_descriptor plane_graph_to_lcc(LCC& alcc,
+  typename LCC::Dart_descriptor read_plane_graph_in_lcc(LCC& alcc,
                                                     std::istream& ais)
   {
     using FT = typename LCC::FT;
@@ -195,32 +195,32 @@ import_from_plane_graph(LCC& alcc,
       edge_indices.push_back(v2);
     }
 
-    return plane_graph_to_lcc(alcc, vertices, edge_indices);
+    return read_plane_graph_in_lcc(alcc, vertices, edge_indices);
   }
 
 template <class LCC>
-[[deprecated("Use plane_graph_to_lcc instead")]]
+[[deprecated("Use read_plane_graph_in_lcc instead")]]
 typename LCC::Dart_descriptor
 import_from_plane_graph(LCC& alcc, std::istream& ais)
 {
-  return plane_graph_to_lcc(alcc, ais);
+  return read_plane_graph_in_lcc(alcc, ais);
 }
 
   template < class LCC >
   typename LCC::Dart_descriptor
-  plane_graph_to_lcc(LCC& alcc, const char* filename)
+  read_plane_graph_in_lcc(LCC& alcc, const char* filename)
   {
     std::ifstream input(filename);
     if (!input.is_open()) return alcc.null_descriptor;
-    return plane_graph_to_lcc(alcc, input);
+    return read_plane_graph_in_lcc(alcc, input);
   }
 
 template <class LCC>
-[[deprecated("Use plane_graph_to_lcc instead")]]
+[[deprecated("Use read_plane_graph_in_lcc instead")]]
 typename LCC::Dart_descriptor
 import_from_plane_graph(LCC& alcc, const char* filename)
 {
-  return plane_graph_to_lcc(alcc, filename); 
+  return read_plane_graph_in_lcc(alcc, filename); 
 }
 
   template < class LCC >
diff --git a/Linear_cell_complex/test/Linear_cell_complex/Linear_cell_complex_2_test.h b/Linear_cell_complex/test/Linear_cell_complex/Linear_cell_complex_2_test.h
index 122163f433f..c1a80876d35 100644
--- a/Linear_cell_complex/test/Linear_cell_complex/Linear_cell_complex_2_test.h
+++ b/Linear_cell_complex/test/Linear_cell_complex/Linear_cell_complex_2_test.h
@@ -382,7 +382,7 @@ bool test_LCC_2()
       std::cout<<"Error: impossible to open 'data/graph.txt'"<<std::endl;
       return false;
     }
-    CGAL::plane_graph_to_lcc<LCC>(lcc,in);
+    CGAL::read_plane_graph_in_lcc<LCC>(lcc,in);
     if ( !check_number_of_cells_2(lcc, 66, 166, 104, 2) )
       return false;
     lcc.clear();
@@ -431,7 +431,7 @@ struct Test_change_orientation_LCC_2<LCC, CGAL::Combinatorial_map_tag>
       std::cout<<"Error: impossible to open 'data/graph.txt'"<<std::endl;
       return false;
     }
-    CGAL::plane_graph_to_lcc<LCC>(lcc,in);
+    CGAL::read_plane_graph_in_lcc<LCC>(lcc,in);
 
     trace_test_begin();
 
diff --git a/Linear_cell_complex/test/Linear_cell_complex/test_plane_graph_alias.cpp b/Linear_cell_complex/test/Linear_cell_complex/test_plane_graph_alias.cpp
index 9ecc3e3a694..905a17f1409 100644
--- a/Linear_cell_complex/test/Linear_cell_complex/test_plane_graph_alias.cpp
+++ b/Linear_cell_complex/test/Linear_cell_complex/test_plane_graph_alias.cpp
@@ -15,7 +15,7 @@ int main()
   input << "3 3\n0.0 0.0\n1.0 0.0\n0.0 1.0\n0 1\n1 2\n2 0\n";
 
   // Test new function
-  auto d1 = CGAL::plane_graph_to_lcc(lcc1, input);
+  auto d1 = CGAL::read_plane_graph_in_lcc(lcc1, input);
   assert(d1 != LCC::null_descriptor);
 
   // Rewind input stream for second test