diff --git a/include/boost/graph/adjacency_matrix.hpp b/include/boost/graph/adjacency_matrix.hpp
index a089e1cb..2a6ae889 100644
--- a/include/boost/graph/adjacency_matrix.hpp
+++ b/include/boost/graph/adjacency_matrix.hpp
@@ -433,7 +433,8 @@ struct adj_matrix_traversal_tag : public virtual adjacency_matrix_tag,
                                   public virtual vertex_list_graph_tag,
                                   public virtual incidence_graph_tag,
                                   public virtual adjacency_graph_tag,
-                                  public virtual edge_list_graph_tag
+                                  public virtual edge_list_graph_tag,
+                                  public virtual bidirectional_graph_tag
 {
 };
 
@@ -826,6 +827,26 @@ typename adjacency_matrix< D, VP, EP, GP, A >::degree_size_type in_degree(
     return n;
 }
 
+// degree
+template < typename VP, typename EP, typename GP, typename A >
+typename adjacency_matrix< directedS, VP, EP, GP, A >::degree_size_type
+degree(
+    typename adjacency_matrix< directedS, VP, EP, GP, A >::vertex_descriptor u,
+    const adjacency_matrix< directedS, VP, EP, GP, A >& g)
+{
+    return in_degree(u, g) + out_degree(u, g);
+}
+
+template < typename VP, typename EP, typename GP, typename A >
+typename adjacency_matrix< undirectedS, VP, EP, GP, A >::degree_size_type
+degree(
+    typename adjacency_matrix< undirectedS, VP, EP, GP, A >::vertex_descriptor
+        u,
+    const adjacency_matrix< undirectedS, VP, EP, GP, A >& g)
+{
+    return out_degree(u, g);
+}
+
 //=========================================================================
 // Functions required by the AdjacencyGraph concept
 
diff --git a/test/adj_matrix_cc.cpp b/test/adj_matrix_cc.cpp
index 9457a70c..68d024ca 100644
--- a/test/adj_matrix_cc.cpp
+++ b/test/adj_matrix_cc.cpp
@@ -21,6 +21,7 @@ int main(int, char*[])
         BOOST_CONCEPT_ASSERT((EdgeListGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((IncidenceGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((AdjacencyGraphConcept< Graph >));
+        BOOST_CONCEPT_ASSERT((BidirectionalGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((MutableGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((AdjacencyMatrixConcept< Graph >));
     }
@@ -30,6 +31,7 @@ int main(int, char*[])
         BOOST_CONCEPT_ASSERT((EdgeListGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((IncidenceGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((AdjacencyGraphConcept< Graph >));
+        BOOST_CONCEPT_ASSERT((BidirectionalGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((MutableGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((AdjacencyMatrixConcept< Graph >));
     }
@@ -44,6 +46,7 @@ int main(int, char*[])
         BOOST_CONCEPT_ASSERT((EdgeListGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((IncidenceGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((AdjacencyGraphConcept< Graph >));
+        BOOST_CONCEPT_ASSERT((BidirectionalGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((AdjacencyMatrixConcept< Graph >));
         BOOST_CONCEPT_ASSERT((VertexMutablePropertyGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((EdgeMutablePropertyGraphConcept< Graph >));
@@ -64,6 +67,7 @@ int main(int, char*[])
         BOOST_CONCEPT_ASSERT((EdgeListGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((IncidenceGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((AdjacencyGraphConcept< Graph >));
+        BOOST_CONCEPT_ASSERT((BidirectionalGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((AdjacencyMatrixConcept< Graph >));
         BOOST_CONCEPT_ASSERT((VertexMutablePropertyGraphConcept< Graph >));
         BOOST_CONCEPT_ASSERT((EdgeMutablePropertyGraphConcept< Graph >));
diff --git a/test/reverse_graph_cc.cpp b/test/reverse_graph_cc.cpp
index 7965f25c..a4e5c56c 100644
--- a/test/reverse_graph_cc.cpp
+++ b/test/reverse_graph_cc.cpp
@@ -9,6 +9,7 @@
 #include <boost/graph/graph_concepts.hpp>
 #include <boost/graph/graph_archetypes.hpp>
 #include <boost/graph/adjacency_list.hpp>
+#include <boost/graph/adjacency_matrix.hpp>
 #include <boost/graph/reverse_graph.hpp>
 #include <boost/concept/assert.hpp>
 #include <string>
@@ -59,5 +60,26 @@ int main(int, char*[])
         get_property(gr, graph_name_t());
         set_property(gr, graph_name_t(), "foo");
     }
+    // Check matrix
+    {
+        typedef adjacency_matrix< directedS,
+            property< vertex_color_t, int >, property< edge_weight_t, int >,
+            property< graph_name_t, std::string > >
+            AdjMatrix;
+        typedef reverse_graph< AdjMatrix > Graph;
+        BOOST_CONCEPT_ASSERT((VertexListGraphConcept< Graph >));
+        BOOST_CONCEPT_ASSERT((BidirectionalGraphConcept< Graph >));
+        typedef graph_traits< Graph >::vertex_descriptor Vertex;
+        typedef graph_traits< Graph >::edge_descriptor Edge;
+        BOOST_CONCEPT_ASSERT(
+            (ReadablePropertyGraphConcept< Graph, Vertex, vertex_color_t >));
+        BOOST_CONCEPT_ASSERT(
+            (ReadablePropertyGraphConcept< Graph, Edge, edge_weight_t >));
+        BOOST_CONCEPT_ASSERT(
+            (ReadablePropertyGraphConcept< Graph, Edge, edge_underlying_t >));
+        AdjMatrix g(42);
+        Graph gr(g);
+        get_property(gr, graph_name_t());
+    }
     return 0;
 }
diff --git a/test/test_graphs.cpp b/test/test_graphs.cpp
index 81c489bb..577d9fff 100644
--- a/test/test_graphs.cpp
+++ b/test/test_graphs.cpp
@@ -132,6 +132,8 @@ int main()
             Graph;
         BOOST_META_ASSERT(is_directed_graph< Graph >);
         BOOST_META_ASSERT(!is_multigraph< Graph >);
+        BOOST_META_ASSERT(is_bidirectional_graph< Graph >);
+        BOOST_META_ASSERT(is_directed_bidirectional_graph< Graph >);
         BOOST_META_ASSERT(has_vertex_property< Graph >);
         BOOST_META_ASSERT(has_bundled_vertex_property< Graph >);
         BOOST_META_ASSERT(has_edge_property< Graph >);
@@ -145,6 +147,8 @@ int main()
         typedef adjacency_matrix< directedS, VertexBundle, EdgeBundle > Graph;
         BOOST_META_ASSERT(is_directed_graph< Graph >);
         BOOST_META_ASSERT(!is_multigraph< Graph >);
+        BOOST_META_ASSERT(is_bidirectional_graph< Graph >);
+        BOOST_META_ASSERT(is_directed_bidirectional_graph< Graph >);
         BOOST_META_ASSERT(has_vertex_property< Graph >);
         BOOST_META_ASSERT(has_bundled_vertex_property< Graph >);
         BOOST_META_ASSERT(has_edge_property< Graph >);