diff --git a/terraform/graph_config.go b/terraform/graph_config.go
index cef24e0aa..dd6a7f9b9 100644
--- a/terraform/graph_config.go
+++ b/terraform/graph_config.go
@@ -43,31 +43,30 @@ func Graph2(mod *module.Tree) (*dag.Graph, error) {
 	}
 
 	// Build the full map of the var names to the nodes.
-	fullMap := make(map[string]dag.Node)
+	fullMap := make(map[string]dag.Vertex)
 	for _, n := range nodes {
 		fullMap[n.VarName()] = n
 	}
 
-	// Go through all the nodes and build up the actual dependency map. We
+	// Build the graph vertices
+	var g dag.Graph
+	for _, n := range nodes {
+		g.Add(n)
+	}
+
+	// Go through all the nodes and build up the actual graph edges. We
 	// do this by getting the variables that each node depends on and then
 	// building the dep map based on the fullMap which contains the mapping
 	// of var names to the actual node with that name.
 	for _, n := range nodes {
-		m := make(map[string]dag.Node)
 		for _, id := range n.Variables() {
-			m[id] = fullMap[id]
+			if target, ok := fullMap[id]; ok {
+				g.Connect(dag.BasicEdge(n, target))
+			}
 		}
-
-		n.setDepMap(m)
 	}
 
-	// Build the graph and return it
-	g := &dag.Graph{Nodes: make([]dag.Node, 0, len(nodes))}
-	for _, n := range nodes {
-		g.Nodes = append(g.Nodes, n)
-	}
-
-	return g, nil
+	return &g, nil
 }
 
 // varNameForVar returns the VarName value for an interpolated variable.
diff --git a/terraform/graph_config_node.go b/terraform/graph_config_node.go
index d36c2bc23..843a017e8 100644
--- a/terraform/graph_config_node.go
+++ b/terraform/graph_config_node.go
@@ -11,7 +11,7 @@ import (
 // configuration graph need to implement in order to build the variable
 // dependencies properly.
 type graphNodeConfig interface {
-	dag.Node
+	dag.Vertex
 
 	// Variables returns the full list of variables that this node
 	// depends on. The values within the slice should map to the VarName()
@@ -22,45 +22,10 @@ type graphNodeConfig interface {
 	// maps to this node. It should match the result of the
 	// `VarName` function.
 	VarName() string
-
-	// depMap and setDepMap are used to get and set the dependency map
-	// for this node. This is used to modify the dependencies. The key of
-	// this map should be the VarName() of graphNodeConfig.
-	depMap() map[string]dag.Node
-	setDepMap(map[string]dag.Node)
-}
-
-// graphNodeConfigBasicDepMap is a struct that provides the Deps(),
-// depMap(), and setDepMap() functions to help satisfy the graphNodeConfig
-// interface. This struct is meant to be embedded into other nodes to get
-// these features for free.
-type graphNodeConfigBasicDepMap struct {
-	DepMap map[string]dag.Node
-}
-
-func (n *graphNodeConfigBasicDepMap) Deps() []dag.Node {
-	r := make([]dag.Node, 0, len(n.DepMap))
-	for _, v := range n.DepMap {
-		if v != nil {
-			r = append(r, v)
-		}
-	}
-
-	return r
-}
-
-func (n *graphNodeConfigBasicDepMap) depMap() map[string]dag.Node {
-	return n.DepMap
-}
-
-func (n *graphNodeConfigBasicDepMap) setDepMap(m map[string]dag.Node) {
-	n.DepMap = m
 }
 
 // GraphNodeConfigModule represents a module within the configuration graph.
 type GraphNodeConfigModule struct {
-	graphNodeConfigBasicDepMap
-
 	Module *config.Module
 }
 
@@ -86,8 +51,6 @@ func (n *GraphNodeConfigModule) VarName() string {
 // configuration graph. These are only immediately in the graph when an
 // explicit `provider` configuration block is in the configuration.
 type GraphNodeConfigProvider struct {
-	graphNodeConfigBasicDepMap
-
 	Provider *config.ProviderConfig
 }
 
@@ -111,8 +74,6 @@ func (n *GraphNodeConfigProvider) VarName() string {
 
 // GraphNodeConfigResource represents a resource within the config graph.
 type GraphNodeConfigResource struct {
-	graphNodeConfigBasicDepMap
-
 	Resource *config.Resource
 }
 
diff --git a/terraform/graph_config_node_test.go b/terraform/graph_config_node_test.go
index dc18d66aa..bf54dfca4 100644
--- a/terraform/graph_config_node_test.go
+++ b/terraform/graph_config_node_test.go
@@ -7,7 +7,7 @@ import (
 )
 
 func TestGraphNodeConfigResource_impl(t *testing.T) {
-	var _ dag.Node = new(GraphNodeConfigResource)
-	var _ dag.NamedNode = new(GraphNodeConfigResource)
+	var _ dag.Vertex = new(GraphNodeConfigResource)
+	var _ dag.NamedVertex = new(GraphNodeConfigResource)
 	var _ graphNodeConfig = new(GraphNodeConfigResource)
 }