diff --git a/src/edmonds.cpp b/src/edmonds.cpp
index 44012d6..e2de33b 100644
--- a/src/edmonds.cpp
+++ b/src/edmonds.cpp
@@ -117,7 +117,7 @@ void augment(GraphAttributes & attrs, std::vector<NodeId> const & x_path, std::v
    for(size_t i = 1; i < y_path.size(); i += 2)
    {
       attrs.mu[y_path[i]] = y_path[i+1];
-      attrs.mu[y_path[i+1]] = x_path[i+1];
+      attrs.mu[y_path[i+1]] = y_path[i];
    }
    attrs.reset_forest();
    collect_exposed_vertices(attrs, outer_unvisited_nodes);
diff --git a/src/graph_attributes.h b/src/graph_attributes.h
index b236636..4575123 100644
--- a/src/graph_attributes.h
+++ b/src/graph_attributes.h
@@ -49,7 +49,7 @@ namespace ED
 
    inline
    bool GraphAttributes::is_outer(NodeId const id) const {
-      return mu[id] == id or phi[mu[id]] == mu[id];
+      return mu[id] == id or phi[mu[id]] != mu[id];
    }
 
    inline