diff --git a/NEWS b/NEWS
index 167e4f770..20c507343 100644
--- a/NEWS
+++ b/NEWS
@@ -57,6 +57,11 @@ New in spot 2.10.4.dev  (net yet released)
   - purge_dead_states() will now also remove edges labeled by false
     (except self-loops).
 
+  Bugs fixed:
+
+  - reduce_parity() produced incorrect results when applied to
+    automata with deleted edges.
+
 New in spot 2.10.4  (2022-02-01)
 
   Bug fixed:
diff --git a/spot/twaalgos/parity.cc b/spot/twaalgos/parity.cc
index 35ec10a90..94c7bd922 100644
--- a/spot/twaalgos/parity.cc
+++ b/spot/twaalgos/parity.cc
@@ -1,6 +1,6 @@
 // -*- coding: utf-8 -*-
-// Copyright (C) 2016, 2018, 2019 Laboratoire de Recherche et Développement
-// de l'Epita (LRDE).
+// Copyright (C) 2016, 2018, 2019, 2022 Laboratoire de Recherche et
+// Développement de l'Epita (LRDE).
 //
 // This file is part of Spot, a model checking library.
 //
@@ -465,8 +465,9 @@ namespace spot
     // using k=0 or k=1.
     //
     // -2 means the edge was never assigned a color.
-    std::vector<int> piprime1(aut->num_edges() + 1, -2); // k=1
-    std::vector<int> piprime2(aut->num_edges() + 1, -2); // k=0
+    unsigned evs = aut->edge_vector().size();
+    std::vector<int> piprime1(evs, -2); // k=1
+    std::vector<int> piprime2(evs, -2); // k=0
     bool sba = aut->prop_state_acc().is_true();
 
     auto rec =
diff --git a/tests/python/parity.py b/tests/python/parity.py
index dfeb24d3d..b0389c40e 100644
--- a/tests/python/parity.py
+++ b/tests/python/parity.py
@@ -1,6 +1,6 @@
 #!/usr/bin/python3
 # -*- mode: python; coding: utf-8 -*-
-# Copyright (C) 2018, 2019 Laboratoire de Recherche et Développement de
+# Copyright (C) 2018, 2019, 2022 Laboratoire de Recherche et Développement de
 # l'EPITA.
 #
 # This file is part of Spot, a model checking library.
@@ -155,3 +155,17 @@ except RuntimeError as e:
   assert "invalid state number" in str(e)
 else:
   report_missing_exception()
+
+
+a = spot.automaton("""HOA: v1 name: "F(!p0 | X!p1)" States: 3
+Start: 1 AP: 2 "p0" "p1" acc-name: Buchi Acceptance: 1 Inf(0)
+properties: trans-labels explicit-labels trans-acc complete
+properties: deterministic terminal --BODY-- State: 0 [t] 0 {0} State:
+1 [!0] 0 [0] 2 State: 2 [!0 | !1] 0 [0&1] 2 --END--""")
+# Erase the first edge of state 1
+oi = a.out_iteraser(1)
+oi.erase()
+# postprocess used to call reduce_parity that did not
+# work correctly on automata with deleted edges.
+sm = a.postprocess("gen", "small")
+assert sm.num_states() == 3