diff --git a/pkg/go/graph/graph_builder.go b/pkg/go/graph/graph_builder.go
index b30b8e97..e1c7abb1 100644
--- a/pkg/go/graph/graph_builder.go
+++ b/pkg/go/graph/graph_builder.go
@@ -135,7 +135,7 @@ func parseThis(graphBuilder *AuthorizationModelGraphBuilder, parentNode graph.No
 		if directlyRelatedDef.GetWildcard() != nil {
 			// direct assignment to wildcard
 			assignableWildcard := directlyRelatedDef.GetType() + ":*"
-			curNode = graphBuilder.GetOrAddNode(assignableWildcard, assignableWildcard, SpecificType)
+			curNode = graphBuilder.GetOrAddNode(assignableWildcard, assignableWildcard, SpecificTypeWildcard)
 		}
 
 		if directlyRelatedDef.GetRelation() != "" {
diff --git a/pkg/go/graph/graph_node.go b/pkg/go/graph/graph_node.go
index 3204effe..0560a089 100644
--- a/pkg/go/graph/graph_node.go
+++ b/pkg/go/graph/graph_node.go
@@ -11,6 +11,7 @@ const (
 	SpecificType            NodeType = 0 // e.g. `group`
 	SpecificTypeAndRelation NodeType = 1 // e.g. `group#viewer`
 	OperatorNode            NodeType = 2 // e.g. union
+	SpecificTypeWildcard    NodeType = 3 // e.g. `group:*`
 )
 
 type AuthorizationModelNode struct {
diff --git a/pkg/go/graph/graph_test.go b/pkg/go/graph/graph_test.go
index 7cdf35d5..e313b454 100644
--- a/pkg/go/graph/graph_test.go
+++ b/pkg/go/graph/graph_test.go
@@ -159,3 +159,75 @@ func TestGetNodeByLabel(t *testing.T) {
 		})
 	}
 }
+
+func TestGetNodeTypes(t *testing.T) {
+	t.Parallel()
+	model := language.MustTransformDSLToProto(`
+				model
+					schema 1.1
+				type user
+				type group
+					relations
+						define member: [user]
+				type company
+					relations
+						define wildcard: [user:*]
+						define direct: [user]
+						define userset: [group#member]
+						define intersectionRelation: wildcard and direct
+						define unionRelation: wildcard or direct
+						define differenceRelation: wildcard but not direct`)
+	graph, err := NewAuthorizationModelGraph(model)
+	require.NoError(t, err)
+
+	testCases := []struct {
+		label            string
+		expectedNodeType NodeType
+	}{
+		{"user", SpecificType},
+		{"user:*", SpecificTypeWildcard},
+		{"group", SpecificType},
+		{"group#member", SpecificTypeAndRelation},
+		{"company", SpecificType},
+		{"company#wildcard", SpecificTypeAndRelation},
+		{"company#direct", SpecificTypeAndRelation},
+		{"company#userset", SpecificTypeAndRelation},
+		{"company#intersectionRelation", SpecificTypeAndRelation},
+		{"company#unionRelation", SpecificTypeAndRelation},
+		{"company#differenceRelation", SpecificTypeAndRelation},
+	}
+	for _, testCase := range testCases {
+		t.Run(testCase.label, func(t *testing.T) {
+			t.Parallel()
+			node, err := graph.GetNodeByLabel(testCase.label)
+			require.NoError(t, err)
+			require.NotNil(t, node)
+			require.Equal(t, testCase.expectedNodeType, node.NodeType(), "expected node type %d but got %d", testCase.expectedNodeType, node.NodeType())
+		})
+	}
+
+	// testing the operator nodes is not so straightforward...
+	var unionNodes, differenceNodes, intersectionNodes []*AuthorizationModelNode
+
+	iterNodes := graph.Nodes()
+	for iterNodes.Next() {
+		node, ok := iterNodes.Node().(*AuthorizationModelNode)
+		require.True(t, ok)
+		if node.nodeType != OperatorNode {
+			continue
+		}
+
+		switch node.label {
+		case "union":
+			unionNodes = append(unionNodes, node)
+		case "intersection":
+			intersectionNodes = append(intersectionNodes, node)
+		case "exclusion":
+			differenceNodes = append(differenceNodes, node)
+		}
+	}
+
+	require.Len(t, unionNodes, 1)
+	require.Len(t, differenceNodes, 1)
+	require.Len(t, intersectionNodes, 1)
+}