diff --git a/include/customizer/edge_based_graph.hpp b/include/customizer/edge_based_graph.hpp
index b45081b07..d3703d7fd 100644
--- a/include/customizer/edge_based_graph.hpp
+++ b/include/customizer/edge_based_graph.hpp
@@ -3,6 +3,7 @@
 
 #include "extractor/edge_based_edge.hpp"
 #include "partition/edge_based_graph.hpp"
+#include "partition/multi_level_graph.hpp"
 #include "util/static_graph.hpp"
 #include "util/typedefs.hpp"
 
@@ -13,34 +14,24 @@ namespace osrm
 namespace customizer
 {
 
-struct StaticEdgeBasedGraph;
-
-namespace io
-{
-void read(const boost::filesystem::path &path, StaticEdgeBasedGraph &graph);
-void write(const boost::filesystem::path &path, const StaticEdgeBasedGraph &graph);
-}
-
 using EdgeBasedGraphEdgeData = partition::EdgeBasedGraphEdgeData;
 
-struct StaticEdgeBasedGraph : util::StaticGraph<EdgeBasedGraphEdgeData>
+struct MultiLevelEdgeBasedGraph : public partition::MultiLevelGraph<EdgeBasedGraphEdgeData, false>
 {
-    using Base = util::StaticGraph<EdgeBasedGraphEdgeData>;
-    using Base::Base;
-
-    friend void io::read(const boost::filesystem::path &path, StaticEdgeBasedGraph &graph);
-    friend void io::write(const boost::filesystem::path &path, const StaticEdgeBasedGraph &graph);
-};
-
-struct StaticEdgeBasedGraphView : util::StaticGraph<EdgeBasedGraphEdgeData, true>
-{
-    using Base = util::StaticGraph<EdgeBasedGraphEdgeData, true>;
+    using Base = partition::MultiLevelGraph<EdgeBasedGraphEdgeData, false>;
     using Base::Base;
 };
 
-struct StaticEdgeBasedGraphEdge : StaticEdgeBasedGraph::InputEdge
+struct MultiLevelEdgeBasedGraphView
+    : public partition::MultiLevelGraph<EdgeBasedGraphEdgeData, true>
 {
-    using Base = StaticEdgeBasedGraph::InputEdge;
+    using Base = partition::MultiLevelGraph<EdgeBasedGraphEdgeData, true>;
+    using Base::Base;
+};
+
+struct StaticEdgeBasedGraphEdge : MultiLevelEdgeBasedGraph::InputEdge
+{
+    using Base = MultiLevelEdgeBasedGraph::InputEdge;
     using Base::Base;
 };
 }
diff --git a/include/customizer/io.hpp b/include/customizer/io.hpp
index 782548cc5..d0704a65f 100644
--- a/include/customizer/io.hpp
+++ b/include/customizer/io.hpp
@@ -11,24 +11,6 @@ namespace customizer
 {
 namespace io
 {
-
-inline void read(const boost::filesystem::path &path, StaticEdgeBasedGraph &graph)
-{
-    const auto fingerprint = storage::io::FileReader::VerifyFingerprint;
-    storage::io::FileReader reader{path, fingerprint};
-
-    reader.DeserializeVector(graph.node_array);
-    reader.DeserializeVector(graph.edge_array);
-}
-
-inline void write(const boost::filesystem::path &path, const StaticEdgeBasedGraph &graph)
-{
-    const auto fingerprint = storage::io::FileWriter::GenerateFingerprint;
-    storage::io::FileWriter writer{path, fingerprint};
-
-    writer.SerializeVector(graph.node_array);
-    writer.SerializeVector(graph.edge_array);
-}
 }
 }
 }
diff --git a/include/engine/datafacade/algorithm_datafacade.hpp b/include/engine/datafacade/algorithm_datafacade.hpp
index 7a78779b4..eb3062228 100644
--- a/include/engine/datafacade/algorithm_datafacade.hpp
+++ b/include/engine/datafacade/algorithm_datafacade.hpp
@@ -90,6 +90,8 @@ template <> class AlgorithmDataFacade<algorithm::MLD>
 
     virtual const partition::CellStorageView &GetCellStorage() const = 0;
 
+    virtual EdgeRange GetBorderEdgeRange(const LevelID level, const NodeID node) const = 0;
+
     // searches for a specific edge
     virtual EdgeID FindEdge(const NodeID from, const NodeID to) const = 0;
 };
diff --git a/include/engine/datafacade/contiguous_internalmem_datafacade.hpp b/include/engine/datafacade/contiguous_internalmem_datafacade.hpp
index 8185af8e8..54e5213a7 100644
--- a/include/engine/datafacade/contiguous_internalmem_datafacade.hpp
+++ b/include/engine/datafacade/contiguous_internalmem_datafacade.hpp
@@ -902,10 +902,16 @@ class ContiguousInternalMemoryAlgorithmDataFacade<algorithm::MLD>
     // MLD data
     partition::MultiLevelPartitionView mld_partition;
     partition::CellStorageView mld_cell_storage;
+    using QueryGraph = customizer::MultiLevelEdgeBasedGraphView;
+    using GraphNode = QueryGraph::NodeArrayEntry;
+    using GraphEdge = QueryGraph::EdgeArrayEntry;
+
+    QueryGraph query_graph;
 
     void InitializeInternalPointers(storage::DataLayout &data_layout, char *memory_block)
     {
         InitializeMLDDataPointers(data_layout, memory_block);
+        InitializeGraphPointer(data_layout, memory_block);
     }
 
     void InitializeMLDDataPointers(storage::DataLayout &data_layout, char *memory_block)
@@ -980,6 +986,28 @@ class ContiguousInternalMemoryAlgorithmDataFacade<algorithm::MLD>
                                                           std::move(level_offsets)};
         }
     }
+    void InitializeGraphPointer(storage::DataLayout &data_layout, char *memory_block)
+    {
+        auto graph_nodes_ptr = data_layout.GetBlockPtr<GraphNode>(
+            memory_block, storage::DataLayout::MLD_GRAPH_NODE_LIST);
+
+        auto graph_edges_ptr = data_layout.GetBlockPtr<GraphEdge>(
+            memory_block, storage::DataLayout::MLD_GRAPH_EDGE_LIST);
+
+        auto graph_node_to_offset_ptr = data_layout.GetBlockPtr<QueryGraph::EdgeOffset>(
+            memory_block, storage::DataLayout::MLD_GRAPH_NODE_TO_OFFSET);
+
+        util::ShM<GraphNode, true>::vector node_list(
+            graph_nodes_ptr, data_layout.num_entries[storage::DataLayout::MLD_GRAPH_NODE_LIST]);
+        util::ShM<GraphEdge, true>::vector edge_list(
+            graph_edges_ptr, data_layout.num_entries[storage::DataLayout::MLD_GRAPH_EDGE_LIST]);
+        util::ShM<QueryGraph::EdgeOffset, true>::vector node_to_offset(
+            graph_node_to_offset_ptr,
+            data_layout.num_entries[storage::DataLayout::MLD_GRAPH_NODE_TO_OFFSET]);
+
+        query_graph =
+            QueryGraph(std::move(node_list), std::move(edge_list), std::move(node_to_offset));
+    }
 
     // allocator that keeps the allocation data
     std::shared_ptr<ContiguousBlockAllocator> allocator;
@@ -992,86 +1020,63 @@ class ContiguousInternalMemoryAlgorithmDataFacade<algorithm::MLD>
         InitializeInternalPointers(allocator->GetLayout(), allocator->GetMemory());
     }
 
-    const partition::MultiLevelPartitionView &GetMultiLevelPartition() const
+    const partition::MultiLevelPartitionView &GetMultiLevelPartition() const override
     {
         return mld_partition;
     }
 
-    const partition::CellStorageView &GetCellStorage() const { return mld_cell_storage; }
+    const partition::CellStorageView &GetCellStorage() const override { return mld_cell_storage; }
+
+    // search graph access
+    unsigned GetNumberOfNodes() const override final { return query_graph.GetNumberOfNodes(); }
+
+    unsigned GetNumberOfEdges() const override final { return query_graph.GetNumberOfEdges(); }
+
+    unsigned GetOutDegree(const NodeID n) const override final
+    {
+        return query_graph.GetOutDegree(n);
+    }
+
+    NodeID GetTarget(const EdgeID e) const override final { return query_graph.GetTarget(e); }
+
+    const EdgeData &GetEdgeData(const EdgeID e) const override final
+    {
+        return query_graph.GetEdgeData(e);
+    }
+
+    EdgeID BeginEdges(const NodeID n) const override final { return query_graph.BeginEdges(n); }
+
+    EdgeID EndEdges(const NodeID n) const override final { return query_graph.EndEdges(n); }
+
+    EdgeRange GetAdjacentEdgeRange(const NodeID node) const override final
+    {
+        return query_graph.GetAdjacentEdgeRange(node);
+    }
+
+    EdgeRange GetBorderEdgeRange(const LevelID level, const NodeID node) const override final
+    {
+        return query_graph.GetBorderEdgeRange(level, node);
+    }
+
+    // searches for a specific edge
+    EdgeID FindEdge(const NodeID from, const NodeID to) const override final
+    {
+        return query_graph.FindEdge(from, to);
+    }
 };
 
 template <>
-class ContiguousInternalMemoryDataFacade<algorithm::MLD>
+class ContiguousInternalMemoryDataFacade<algorithm::MLD> final
     : public ContiguousInternalMemoryDataFacadeBase,
       public ContiguousInternalMemoryAlgorithmDataFacade<algorithm::MLD>
 {
   private:
-    using QueryGraph = customizer::StaticEdgeBasedGraphView;
-    using GraphNode = QueryGraph::NodeArrayEntry;
-    using GraphEdge = QueryGraph::EdgeArrayEntry;
-
-    std::unique_ptr<QueryGraph> m_query_graph;
-
-    void InitializeGraphPointer(storage::DataLayout &data_layout, char *memory_block)
-    {
-        auto graph_nodes_ptr = data_layout.GetBlockPtr<GraphNode>(
-            memory_block, storage::DataLayout::MLD_GRAPH_NODE_LIST);
-
-        auto graph_edges_ptr = data_layout.GetBlockPtr<GraphEdge>(
-            memory_block, storage::DataLayout::MLD_GRAPH_EDGE_LIST);
-
-        util::ShM<GraphNode, true>::vector node_list(
-            graph_nodes_ptr, data_layout.num_entries[storage::DataLayout::MLD_GRAPH_NODE_LIST]);
-        util::ShM<GraphEdge, true>::vector edge_list(
-            graph_edges_ptr, data_layout.num_entries[storage::DataLayout::MLD_GRAPH_EDGE_LIST]);
-
-        m_query_graph.reset(new QueryGraph(node_list, edge_list));
-    }
-
   public:
     ContiguousInternalMemoryDataFacade(std::shared_ptr<ContiguousBlockAllocator> allocator)
         : ContiguousInternalMemoryDataFacadeBase(allocator),
           ContiguousInternalMemoryAlgorithmDataFacade<algorithm::MLD>(allocator)
 
     {
-        InitializeInternalPointers(allocator->GetLayout(), allocator->GetMemory());
-    }
-
-    void InitializeInternalPointers(storage::DataLayout &data_layout, char *memory_block)
-    {
-        InitializeGraphPointer(data_layout, memory_block);
-    }
-
-    // search graph access
-    unsigned GetNumberOfNodes() const override final { return m_query_graph->GetNumberOfNodes(); }
-
-    unsigned GetNumberOfEdges() const override final { return m_query_graph->GetNumberOfEdges(); }
-
-    unsigned GetOutDegree(const NodeID n) const override final
-    {
-        return m_query_graph->GetOutDegree(n);
-    }
-
-    NodeID GetTarget(const EdgeID e) const override final { return m_query_graph->GetTarget(e); }
-
-    EdgeData &GetEdgeData(const EdgeID e) const override final
-    {
-        return m_query_graph->GetEdgeData(e);
-    }
-
-    EdgeID BeginEdges(const NodeID n) const override final { return m_query_graph->BeginEdges(n); }
-
-    EdgeID EndEdges(const NodeID n) const override final { return m_query_graph->EndEdges(n); }
-
-    EdgeRange GetAdjacentEdgeRange(const NodeID node) const override final
-    {
-        return m_query_graph->GetAdjacentEdgeRange(node);
-    }
-
-    // searches for a specific edge
-    EdgeID FindEdge(const NodeID from, const NodeID to) const override final
-    {
-        return m_query_graph->FindEdge(from, to);
     }
 };
 }
diff --git a/include/engine/routing_algorithms/routing_base_mld.hpp b/include/engine/routing_algorithms/routing_base_mld.hpp
index 8e38d5023..e705f106d 100644
--- a/include/engine/routing_algorithms/routing_base_mld.hpp
+++ b/include/engine/routing_algorithms/routing_base_mld.hpp
@@ -143,15 +143,14 @@ void routingStep(const datafacade::ContiguousInternalMemoryDataFacade<algorithm:
     }
 
     // Boundary edges
-    for (const auto edge : facade.GetAdjacentEdgeRange(node))
+    for (const auto edge : facade.GetBorderEdgeRange(level, node))
     {
         const auto &edge_data = facade.GetEdgeData(edge);
         if (DIRECTION == FORWARD_DIRECTION ? edge_data.forward : edge_data.backward)
         {
             const NodeID to = facade.GetTarget(edge);
 
-            if (checkParentCellRestriction(partition.GetCell(level + 1, to), args...) &&
-                partition.GetHighestDifferentLevel(node, to) >= level)
+            if (checkParentCellRestriction(partition.GetCell(level + 1, to), args...))
             {
                 BOOST_ASSERT_MSG(edge_data.weight > 0, "edge_weight invalid");
                 const EdgeWeight to_weight = weight + edge_data.weight;
diff --git a/include/partition/io.hpp b/include/partition/io.hpp
index ec01c1af7..00a03835d 100644
--- a/include/partition/io.hpp
+++ b/include/partition/io.hpp
@@ -3,6 +3,7 @@
 
 #include "partition/cell_storage.hpp"
 #include "partition/edge_based_graph.hpp"
+#include "partition/multi_level_graph.hpp"
 #include "partition/multi_level_partition.hpp"
 
 #include "storage/io.hpp"
@@ -14,6 +15,30 @@ namespace partition
 namespace io
 {
 
+template <typename EdgeDataT, bool UseSharedMemory>
+inline void read(const boost::filesystem::path &path,
+                 MultiLevelGraph<EdgeDataT, UseSharedMemory> &graph)
+{
+    const auto fingerprint = storage::io::FileReader::VerifyFingerprint;
+    storage::io::FileReader reader{path, fingerprint};
+
+    reader.DeserializeVector(graph.node_array);
+    reader.DeserializeVector(graph.edge_array);
+    reader.DeserializeVector(graph.edge_to_level);
+}
+
+template <typename EdgeDataT, bool UseSharedMemory>
+inline void write(const boost::filesystem::path &path,
+                  const MultiLevelGraph<EdgeDataT, UseSharedMemory> &graph)
+{
+    const auto fingerprint = storage::io::FileWriter::GenerateFingerprint;
+    storage::io::FileWriter writer{path, fingerprint};
+
+    writer.SerializeVector(graph.node_array);
+    writer.SerializeVector(graph.edge_array);
+    writer.SerializeVector(graph.node_to_edge_offset);
+}
+
 template <> inline void read(const boost::filesystem::path &path, MultiLevelPartition &mlp)
 {
     const auto fingerprint = storage::io::FileReader::VerifyFingerprint;
diff --git a/include/partition/multi_level_graph.hpp b/include/partition/multi_level_graph.hpp
new file mode 100644
index 000000000..52b284ff1
--- /dev/null
+++ b/include/partition/multi_level_graph.hpp
@@ -0,0 +1,191 @@
+#ifndef OSRM_PARTITION_MULTI_LEVEL_GRAPH_HPP
+#define OSRM_PARTITION_MULTI_LEVEL_GRAPH_HPP
+
+#include "partition/multi_level_partition.hpp"
+
+#include "util/static_graph.hpp"
+
+#include <tbb/parallel_sort.h>
+
+#include <boost/iterator/permutation_iterator.hpp>
+#include <boost/range/combine.hpp>
+
+namespace osrm
+{
+namespace partition
+{
+template <typename EdgeDataT, bool UseSharedMemory> class MultiLevelGraph;
+
+namespace io
+{
+template <typename EdgeDataT, bool UseSharedMemory>
+void read(const boost::filesystem::path &path, MultiLevelGraph<EdgeDataT, UseSharedMemory> &graph);
+
+template <typename EdgeDataT, bool UseSharedMemory>
+void write(const boost::filesystem::path &path,
+           const MultiLevelGraph<EdgeDataT, UseSharedMemory> &graph);
+}
+
+template <typename EdgeDataT, bool UseSharedMemory>
+class MultiLevelGraph : public util::StaticGraph<EdgeDataT, UseSharedMemory>
+{
+  private:
+    using SuperT = util::StaticGraph<EdgeDataT, UseSharedMemory>;
+    template <typename T> using Vector = typename util::ShM<T, UseSharedMemory>::vector;
+
+  public:
+    // We limit each node to have 255 edges
+    // this is very generous, we could probably pack this
+    using EdgeOffset = std::uint8_t;
+
+    MultiLevelGraph() = default;
+
+    MultiLevelGraph(Vector<typename SuperT::NodeArrayEntry> node_array_,
+                    Vector<typename SuperT::EdgeArrayEntry> edge_array_,
+                    Vector<EdgeOffset> node_to_edge_offset_)
+        : SuperT(std::move(node_array_), std::move(edge_array_)),
+          node_to_edge_offset(std::move(node_to_edge_offset_))
+    {
+    }
+
+    template <typename ContainerT>
+    MultiLevelGraph(const MultiLevelPartition &mlp,
+                    const std::uint32_t num_nodes,
+                    const ContainerT &edges)
+    {
+        auto highest_border_level = GetHighestBorderLevel(mlp, edges);
+        auto permutation = SortEdgesByHighestLevel(highest_border_level, edges);
+        auto sorted_edges_begin =
+            boost::make_permutation_iterator(edges.begin(), permutation.begin());
+        auto sorted_edges_end = boost::make_permutation_iterator(edges.begin(), permutation.end());
+        SuperT::InitializeFromSortedEdgeRange(num_nodes, sorted_edges_begin, sorted_edges_end);
+
+        // if the node ordering is sorting the border nodes first,
+        // the id of the maximum border node will be rather low
+        // enabling us to save some memory here
+        auto max_border_node_id = 0u;
+        for (auto edge_index : util::irange<std::size_t>(0, edges.size()))
+        {
+            if (highest_border_level[edge_index] > 0)
+            {
+                max_border_node_id =
+                    std::max(max_border_node_id,
+                             std::max(edges[edge_index].source, edges[edge_index].target));
+            }
+        }
+        BOOST_ASSERT(max_border_node_id < num_nodes);
+
+        auto edge_and_level_range = boost::combine(edges, highest_border_level);
+        auto sorted_edge_and_level_begin =
+            boost::make_permutation_iterator(edge_and_level_range.begin(), permutation.begin());
+        auto sorted_edge_and_level_end =
+            boost::make_permutation_iterator(edge_and_level_range.begin(), permutation.end());
+        InitializeOffsetsFromSortedEdges(
+            mlp, max_border_node_id, sorted_edge_and_level_begin, sorted_edge_and_level_end);
+    }
+
+    // Fast scan over all relevant border edges
+    auto GetBorderEdgeRange(const LevelID level, const NodeID node) const
+    {
+        auto begin = BeginBorderEdges(level, node);
+        auto end = SuperT::EndEdges(node);
+        return util::irange<EdgeID>(begin, end);
+    }
+
+    // Fast scan over all relevant internal edges, that is edges that will not
+    // leave the cell of that node at the given level
+    auto GetInternalEdgeRange(const LevelID level, const NodeID node) const
+    {
+        auto begin = SuperT::BeginEdges(node);
+        auto end = SuperT::BeginEdges(node) + node_to_edge_offset[node + level];
+        return util::irange<EdgeID>(begin, end);
+    }
+
+    EdgeID BeginBorderEdges(const LevelID level, const NodeID node) const
+    {
+        auto index = node * GetNumberOfLevels();
+        if (index >= node_to_edge_offset.size() - 1)
+            return SuperT::BeginEdges(node);
+        else
+            return SuperT::BeginEdges(node) + node_to_edge_offset[index + level];
+    }
+
+    // We save the level as senitel at the end
+    LevelID GetNumberOfLevels() const { return node_to_edge_offset.back(); }
+
+  private:
+    template <typename ContainerT>
+    auto GetHighestBorderLevel(const MultiLevelPartition &mlp, const ContainerT &edges) const
+    {
+        std::vector<LevelID> highest_border_level(edges.size());
+        std::transform(
+            edges.begin(), edges.end(), highest_border_level.begin(), [&mlp](const auto &edge) {
+                return mlp.GetHighestDifferentLevel(edge.source, edge.target);
+            });
+        return highest_border_level;
+    }
+
+    template <typename ContainerT>
+    auto SortEdgesByHighestLevel(const std::vector<LevelID> &highest_border_level,
+                                 const ContainerT &edges) const
+    {
+        std::vector<std::uint32_t> permutation(edges.size());
+        std::iota(permutation.begin(), permutation.end(), 0);
+        tbb::parallel_sort(
+            permutation.begin(),
+            permutation.end(),
+            [&edges, &highest_border_level](const auto &lhs, const auto &rhs) {
+                // sort by source node and then by level in acending order
+                return std::tie(edges[lhs].source, highest_border_level[lhs], edges[lhs].target) <
+                       std::tie(edges[rhs].source, highest_border_level[rhs], edges[rhs].target);
+            });
+
+        return permutation;
+    }
+
+    template <typename ZipIterT>
+    auto InitializeOffsetsFromSortedEdges(const MultiLevelPartition &mlp,
+                                          const NodeID max_border_node_id,
+                                          ZipIterT edge_and_level_begin,
+                                          ZipIterT edge_and_level_end)
+    {
+
+        auto num_levels = mlp.GetNumberOfLevels();
+        // we save one senitel element at the end
+        node_to_edge_offset.reserve(num_levels * (max_border_node_id + 1) + 1);
+        auto iter = edge_and_level_begin;
+        for (auto node : util::irange<NodeID>(0, max_border_node_id + 1))
+        {
+            node_to_edge_offset.push_back(0);
+            auto level_begin = iter;
+            for (auto level : util::irange<LevelID>(0, mlp.GetNumberOfLevels()))
+            {
+                iter = std::find_if(
+                    iter, edge_and_level_end, [node, level](const auto &edge_and_level) {
+                        return boost::get<0>(edge_and_level).source != node ||
+                               boost::get<1>(edge_and_level) != level;
+                    });
+                EdgeOffset offset = std::distance(level_begin, iter);
+                node_to_edge_offset.push_back(offset);
+            }
+            node_to_edge_offset.pop_back();
+        }
+        BOOST_ASSERT(node_to_edge_offset.size() ==
+                     mlp.GetNumberOfLevels() * (max_border_node_id + 1));
+        // save number of levels as last element so we can reconstruct the stride
+        node_to_edge_offset.push_back(mlp.GetNumberOfLevels());
+    }
+
+    friend void
+    io::read<EdgeDataT, UseSharedMemory>(const boost::filesystem::path &path,
+                                         MultiLevelGraph<EdgeDataT, UseSharedMemory> &graph);
+    friend void
+    io::write<EdgeDataT, UseSharedMemory>(const boost::filesystem::path &path,
+                                          const MultiLevelGraph<EdgeDataT, UseSharedMemory> &graph);
+
+    Vector<EdgeOffset> node_to_edge_offset;
+};
+}
+}
+
+#endif
diff --git a/include/storage/shared_datatype.hpp b/include/storage/shared_datatype.hpp
index 0846ee3b6..966d00938 100644
--- a/include/storage/shared_datatype.hpp
+++ b/include/storage/shared_datatype.hpp
@@ -64,7 +64,8 @@ const constexpr char *block_id_to_name[] = {"NAME_CHAR_DATA",
                                             "MLD_CELLS",
                                             "MLD_CELL_LEVEL_OFFSETS",
                                             "MLD_GRAPH_NODE_LIST",
-                                            "MLD_GRAPH_EDGE_LIST"};
+                                            "MLD_GRAPH_EDGE_LIST",
+                                            "MLD_GRAPH_NODE_TO_OFFSET"};
 
 struct DataLayout
 {
@@ -117,6 +118,7 @@ struct DataLayout
         MLD_CELL_LEVEL_OFFSETS,
         MLD_GRAPH_NODE_LIST,
         MLD_GRAPH_EDGE_LIST,
+        MLD_GRAPH_NODE_TO_OFFSET,
         NUM_BLOCKS
     };
 
diff --git a/include/util/static_graph.hpp b/include/util/static_graph.hpp
index 014fd9d4a..24c03c159 100644
--- a/include/util/static_graph.hpp
+++ b/include/util/static_graph.hpp
@@ -112,6 +112,8 @@ template <typename EdgeDataT, bool UseSharedMemory = false> class StaticGraph
         return irange(BeginEdges(node), EndEdges(node));
     }
 
+    StaticGraph() {}
+
     template <typename ContainerT> StaticGraph(const int nodes, const ContainerT &edges)
     {
         BOOST_ASSERT(std::is_sorted(const_cast<ContainerT &>(edges).begin(),
@@ -120,18 +122,15 @@ template <typename EdgeDataT, bool UseSharedMemory = false> class StaticGraph
         InitializeFromSortedEdgeRange(nodes, edges.begin(), edges.end());
     }
 
-    StaticGraph(typename ShM<NodeArrayEntry, UseSharedMemory>::vector &nodes,
-                typename ShM<EdgeArrayEntry, UseSharedMemory>::vector &edges)
+    StaticGraph(typename ShM<NodeArrayEntry, UseSharedMemory>::vector node_array_,
+                typename ShM<EdgeArrayEntry, UseSharedMemory>::vector edge_array_)
+        : node_array(std::move(node_array_)), edge_array(std::move(edge_array_))
     {
-        BOOST_ASSERT(!nodes.empty());
+        BOOST_ASSERT(!node_array.empty());
 
-        number_of_nodes = static_cast<decltype(number_of_nodes)>(nodes.size() - 1);
-        number_of_edges = static_cast<decltype(number_of_edges)>(nodes.back().first_edge);
-        BOOST_ASSERT(number_of_edges <= edges.size());
-
-        using std::swap;
-        swap(node_array, nodes);
-        swap(edge_array, edges);
+        number_of_nodes = static_cast<decltype(number_of_nodes)>(node_array.size() - 1);
+        number_of_edges = static_cast<decltype(number_of_edges)>(node_array.back().first_edge);
+        BOOST_ASSERT(number_of_edges <= edge_array.size());
     }
 
     unsigned GetNumberOfNodes() const { return number_of_nodes; }
@@ -255,7 +254,7 @@ template <typename EdgeDataT, bool UseSharedMemory = false> class StaticGraph
         });
     }
 
-  private:
+    // private:
     NodeIterator number_of_nodes;
     EdgeIterator number_of_edges;
 
diff --git a/src/customize/customizer.cpp b/src/customize/customizer.cpp
index 3723ce742..f6f5f987f 100644
--- a/src/customize/customizer.cpp
+++ b/src/customize/customizer.cpp
@@ -6,7 +6,6 @@
 #include "partition/cell_storage.hpp"
 #include "partition/edge_based_graph_reader.hpp"
 #include "partition/io.hpp"
-#include "partition/io.hpp"
 #include "partition/multi_level_partition.hpp"
 
 #include "updater/updater.hpp"
@@ -71,7 +70,8 @@ void CellStorageStatistics(const Graph &graph,
     }
 }
 
-auto LoadAndUpdateEdgeExpandedGraph(const CustomizationConfig &config)
+auto LoadAndUpdateEdgeExpandedGraph(const CustomizationConfig &config,
+                                    const partition::MultiLevelPartition &mlp)
 {
     updater::Updater updater(config.updater_config);
 
@@ -82,7 +82,9 @@ auto LoadAndUpdateEdgeExpandedGraph(const CustomizationConfig &config)
     auto directed = partition::splitBidirectionalEdges(edge_based_edge_list);
     auto tidied =
         partition::prepareEdgesForUsageInGraph<StaticEdgeBasedGraphEdge>(std::move(directed));
-    auto edge_based_graph = std::make_unique<StaticEdgeBasedGraph>(num_nodes, std::move(tidied));
+    auto edge_based_graph =
+        std::make_unique<partition::MultiLevelGraph<EdgeBasedGraphEdgeData, false>>(
+            mlp, num_nodes, std::move(tidied));
 
     util::Log() << "Loaded edge based graph for mapping partition ids: "
                 << edge_based_graph->GetNumberOfEdges() << " edges, "
@@ -95,11 +97,11 @@ int Customizer::Run(const CustomizationConfig &config)
 {
     TIMER_START(loading_data);
 
-    auto edge_based_graph = LoadAndUpdateEdgeExpandedGraph(config);
-
     partition::MultiLevelPartition mlp;
     partition::io::read(config.mld_partition_path, mlp);
 
+    auto edge_based_graph = LoadAndUpdateEdgeExpandedGraph(config, mlp);
+
     partition::CellStorage storage;
     partition::io::read(config.mld_storage_path, storage);
     TIMER_STOP(loading_data);
@@ -117,7 +119,7 @@ int Customizer::Run(const CustomizationConfig &config)
     util::Log() << "MLD customization writing took " << TIMER_SEC(writing_mld_data) << " seconds";
 
     TIMER_START(writing_graph);
-    io::write(config.mld_graph_path, *edge_based_graph);
+    partition::io::write(config.mld_graph_path, *edge_based_graph);
     TIMER_STOP(writing_graph);
     util::Log() << "Graph writing took " << TIMER_SEC(writing_graph) << " seconds";
 
diff --git a/src/storage/storage.cpp b/src/storage/storage.cpp
index bf3634962..8e9652f46 100644
--- a/src/storage/storage.cpp
+++ b/src/storage/storage.cpp
@@ -447,21 +447,27 @@ void Storage::PopulateLayout(DataLayout &layout)
             io::FileReader reader(config.mld_graph_path, io::FileReader::VerifyFingerprint);
 
             const auto num_nodes =
-                reader.ReadVectorSize<customizer::StaticEdgeBasedGraph::NodeArrayEntry>();
+                reader.ReadVectorSize<customizer::MultiLevelEdgeBasedGraph::NodeArrayEntry>();
             const auto num_edges =
-                reader.ReadVectorSize<customizer::StaticEdgeBasedGraph::EdgeArrayEntry>();
+                reader.ReadVectorSize<customizer::MultiLevelEdgeBasedGraph::EdgeArrayEntry>();
+            const auto num_node_offsets =
+                reader.ReadVectorSize<customizer::MultiLevelEdgeBasedGraph::EdgeOffset>();
 
-            layout.SetBlockSize<customizer::StaticEdgeBasedGraph::NodeArrayEntry>(
+            layout.SetBlockSize<customizer::MultiLevelEdgeBasedGraph::NodeArrayEntry>(
                 DataLayout::MLD_GRAPH_NODE_LIST, num_nodes);
-            layout.SetBlockSize<customizer::StaticEdgeBasedGraph::EdgeArrayEntry>(
+            layout.SetBlockSize<customizer::MultiLevelEdgeBasedGraph::EdgeArrayEntry>(
                 DataLayout::MLD_GRAPH_EDGE_LIST, num_edges);
+            layout.SetBlockSize<customizer::MultiLevelEdgeBasedGraph::EdgeOffset>(
+                DataLayout::MLD_GRAPH_NODE_TO_OFFSET, num_node_offsets);
         }
         else
         {
-            layout.SetBlockSize<customizer::StaticEdgeBasedGraph::NodeArrayEntry>(
+            layout.SetBlockSize<customizer::MultiLevelEdgeBasedGraph::NodeArrayEntry>(
                 DataLayout::MLD_GRAPH_NODE_LIST, 0);
-            layout.SetBlockSize<customizer::StaticEdgeBasedGraph::EdgeArrayEntry>(
+            layout.SetBlockSize<customizer::MultiLevelEdgeBasedGraph::EdgeArrayEntry>(
                 DataLayout::MLD_GRAPH_EDGE_LIST, 0);
+            layout.SetBlockSize<customizer::MultiLevelEdgeBasedGraph::EdgeOffset>(
+                DataLayout::MLD_GRAPH_NODE_TO_OFFSET, 0);
         }
     }
 }
@@ -938,16 +944,21 @@ void Storage::PopulateData(const DataLayout &layout, char *memory_ptr)
             io::FileReader reader(config.mld_graph_path, io::FileReader::VerifyFingerprint);
 
             auto nodes_ptr =
-                layout.GetBlockPtr<customizer::StaticEdgeBasedGraph::NodeArrayEntry, true>(
+                layout.GetBlockPtr<customizer::MultiLevelEdgeBasedGraph::NodeArrayEntry, true>(
                     memory_ptr, DataLayout::MLD_GRAPH_NODE_LIST);
             auto edges_ptr =
-                layout.GetBlockPtr<customizer::StaticEdgeBasedGraph::EdgeArrayEntry, true>(
+                layout.GetBlockPtr<customizer::MultiLevelEdgeBasedGraph::EdgeArrayEntry, true>(
                     memory_ptr, DataLayout::MLD_GRAPH_EDGE_LIST);
+            auto node_to_offset_ptr =
+                layout.GetBlockPtr<customizer::MultiLevelEdgeBasedGraph::EdgeOffset, true>(
+                    memory_ptr, DataLayout::MLD_GRAPH_NODE_TO_OFFSET);
 
             auto num_nodes = reader.ReadElementCount64();
             reader.ReadInto(nodes_ptr, num_nodes);
             auto num_edges = reader.ReadElementCount64();
             reader.ReadInto(edges_ptr, num_edges);
+            auto num_node_to_offset = reader.ReadElementCount64();
+            reader.ReadInto(node_to_offset_ptr, num_node_to_offset);
         }
     }
 }
diff --git a/unit_tests/partition/multi_level_graph.cpp b/unit_tests/partition/multi_level_graph.cpp
new file mode 100644
index 000000000..8336f5d2f
--- /dev/null
+++ b/unit_tests/partition/multi_level_graph.cpp
@@ -0,0 +1,178 @@
+#include "partition/multi_level_graph.hpp"
+#include "util/typedefs.hpp"
+
+#include "../common/range_tools.hpp"
+
+#include <boost/test/test_case_template.hpp>
+#include <boost/test/unit_test.hpp>
+
+#include <algorithm>
+#include <random>
+#include <vector>
+
+using namespace osrm;
+using namespace osrm::partition;
+
+namespace
+{
+struct MockEdge
+{
+    NodeID source;
+    NodeID target;
+};
+
+auto makeGraph(const MultiLevelPartition &mlp, const std::vector<MockEdge> &mock_edges)
+{
+    struct EdgeData
+    {
+        bool forward;
+        bool backward;
+    };
+    using Edge = util::static_graph_details::SortableEdgeWithData<EdgeData>;
+    std::vector<Edge> edges;
+    std::size_t max_id = 0;
+    for (const auto &m : mock_edges)
+    {
+        max_id = std::max<std::size_t>(max_id, std::max(m.source, m.target));
+        edges.push_back(Edge{m.source, m.target, true, false});
+        edges.push_back(Edge{m.target, m.source, false, true});
+    }
+    std::sort(edges.begin(), edges.end());
+    return MultiLevelGraph<EdgeData, false>(mlp, max_id + 1, edges);
+}
+}
+
+BOOST_AUTO_TEST_SUITE(multi_level_graph)
+
+BOOST_AUTO_TEST_CASE(check_edges_sorting)
+{
+    // node:                0  1  2  3  4  5  6  7  8  9 10 11 12
+    std::vector<CellID> l1{{0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6}};
+    std::vector<CellID> l2{{0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 4}};
+    std::vector<CellID> l3{{0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2}};
+    std::vector<CellID> l4{{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}};
+    MultiLevelPartition mlp{{l1, l2, l3, l4}, {7, 5, 3, 2}};
+
+    std::vector<MockEdge> edges = {
+        // edges sorted into border/internal by level
+        //  level:  (1) (2) (3) (4)
+        {0, 1},   //  i   i   i   i
+        {2, 3},   //  i   i   i   i
+        {3, 7},   //  b   b   b   i
+        {4, 0},   //  b   b   b   i
+        {4, 5},   //  i   i   i   i
+        {5, 6},   //  b   i   i   i
+        {6, 4},   //  b   i   i   i
+        {6, 7},   //  i   i   i   i
+        {7, 11},  //  b   b   i   i
+        {8, 9},   //  i   i   i   i
+        {9, 8},   //  i   i   i   i
+        {10, 11}, //  i   i   i   i
+        {11, 10}, //  i   i   i   i
+        {11, 12}  //  b   b   b   b
+    };
+
+    auto graph = makeGraph(mlp, edges);
+
+    for (auto from : util::irange(0u, graph.GetNumberOfNodes()))
+    {
+        LevelID level = 0;
+        for (auto edge : graph.GetAdjacentEdgeRange(from))
+        {
+            auto to = graph.GetTarget(edge);
+            BOOST_CHECK(mlp.GetHighestDifferentLevel(from, to) >= level);
+            level = mlp.GetHighestDifferentLevel(from, to);
+        }
+    }
+
+    // on level 0 every edge is a border edge
+    for (auto node : util::irange<NodeID>(0, 13))
+        CHECK_EQUAL_COLLECTIONS(graph.GetBorderEdgeRange(0, node),
+                                graph.GetAdjacentEdgeRange(node));
+
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 0).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 1).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 2).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 3).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 4).size(), 2);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 5).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 6).size(), 2);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 7).size(), 2);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 8).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 9).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 10).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 11).size(), 2);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(1, 12).size(), 1);
+
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 0).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 1).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 2).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 3).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 4).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 5).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 6).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 7).size(), 2);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 8).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 9).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 10).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 11).size(), 2);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(2, 12).size(), 1);
+
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 0).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 1).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 2).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 3).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 4).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 5).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 6).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 7).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 8).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 9).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 10).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 11).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 12).size(), 1);
+
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 0).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 1).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 2).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 3).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 4).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 5).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 6).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 7).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 8).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 9).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 10).size(), 0);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(4, 11).size(), 1);
+    BOOST_CHECK_EQUAL(graph.GetBorderEdgeRange(3, 12).size(), 1);
+
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(1, 0), graph.FindEdge(0, 4));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(1, 3), graph.FindEdge(3, 7));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(1, 4), graph.FindEdge(4, 6), graph.FindEdge(4, 0));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(1, 5), graph.FindEdge(5, 6));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(1, 6), graph.FindEdge(6, 4), graph.FindEdge(6, 5));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(1, 7), graph.FindEdge(7, 11), graph.FindEdge(7, 3));
+    CHECK_EQUAL_RANGE(
+        graph.GetBorderEdgeRange(1, 11), graph.FindEdge(11, 7), graph.FindEdge(11, 12));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(1, 12), graph.FindEdge(12, 11));
+
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(2, 0), graph.FindEdge(0, 4));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(2, 3), graph.FindEdge(3, 7));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(2, 4), graph.FindEdge(4, 0));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(2, 7), graph.FindEdge(7, 11), graph.FindEdge(7, 3));
+    CHECK_EQUAL_RANGE(
+        graph.GetBorderEdgeRange(2, 11), graph.FindEdge(11, 7), graph.FindEdge(11, 12));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(2, 12), graph.FindEdge(12, 11));
+
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(3, 0), graph.FindEdge(0, 4));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(3, 3), graph.FindEdge(3, 7));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(3, 4), graph.FindEdge(4, 0));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(3, 7), graph.FindEdge(7, 3));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(3, 11), graph.FindEdge(11, 12));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(3, 12), graph.FindEdge(12, 11));
+
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(4, 11), graph.FindEdge(11, 12));
+    CHECK_EQUAL_RANGE(graph.GetBorderEdgeRange(4, 12), graph.FindEdge(12, 11));
+}
+
+BOOST_AUTO_TEST_SUITE_END()