diff --git a/dag/graph.go b/dag/graph.go
index 263802d21..7fac2a534 100644
--- a/dag/graph.go
+++ b/dag/graph.go
@@ -73,6 +73,30 @@ func (g *Graph) Remove(v Vertex) Vertex {
 	return nil
 }
 
+// Replace replaces the original Vertex with replacement. If the original
+// does not exist within the graph, then false is returned. Otherwise, true
+// is returned.
+func (g *Graph) Replace(original, replacement Vertex) bool {
+	// If we don't have the original, we can't do anything
+	if !g.vertices.Include(original) {
+		return false
+	}
+
+	// Add our new vertex, then copy all the edges
+	g.Add(replacement)
+	for _, target := range g.DownEdges(original).List() {
+		g.Connect(BasicEdge(replacement, target))
+	}
+	for _, source := range g.UpEdges(original).List() {
+		g.Connect(BasicEdge(source, replacement))
+	}
+
+	// Remove our old vertex, which will also remove all the edges
+	g.Remove(original)
+
+	return true
+}
+
 // RemoveEdge removes an edge from the graph.
 func (g *Graph) RemoveEdge(edge Edge) {
 	g.once.Do(g.init)
diff --git a/dag/graph_test.go b/dag/graph_test.go
index b7a9ae537..e67535659 100644
--- a/dag/graph_test.go
+++ b/dag/graph_test.go
@@ -47,12 +47,29 @@ func TestGraph_remove(t *testing.T) {
 	}
 }
 
+func TestGraph_replace(t *testing.T) {
+	var g Graph
+	g.Add(1)
+	g.Add(2)
+	g.Add(3)
+	g.Connect(BasicEdge(1, 2))
+	g.Connect(BasicEdge(2, 3))
+	g.Replace(2, 42)
+
+	actual := strings.TrimSpace(g.String())
+	expected := strings.TrimSpace(testGraphReplaceStr)
+	if actual != expected {
+		t.Fatalf("bad: %s", actual)
+	}
+}
+
 const testGraphBasicStr = `
 1
   3
 2
 3
 `
+
 const testGraphEmptyStr = `
 1
 2
@@ -63,3 +80,11 @@ const testGraphRemoveStr = `
 1
 2
 `
+
+const testGraphReplaceStr = `
+1
+  42
+3
+42
+  3
+`