fixes #6036 (#6080)

* fixes #6036

* test load centrality

1 files changed, 8 insertions, 0 deletions

diff --git a/networkx/algorithms/centrality/tests/test_load_centrality.py b/networkx/algorithms/centrality/tests/test_load_centrality.py
index 065b4fda..d994394f 100644
--- a/networkx/algorithms/centrality/tests/test_load_centrality.py
+++ b/networkx/algorithms/centrality/tests/test_load_centrality.py
@@ -24,6 +24,7 @@ class TestLoadCentrality:
         cls.P3 = nx.path_graph(3)
         cls.P4 = nx.path_graph(4)
         cls.K5 = nx.complete_graph(5)
+        cls.P2 = nx.path_graph(2)
 
         cls.C4 = nx.cycle_graph(4)
         cls.T = nx.balanced_tree(r=2, h=2)
@@ -41,6 +42,13 @@ class TestLoadCentrality:
             assert result[n] == pytest.approx(b[n], abs=1e-3)
             assert result[n] == pytest.approx(nx.load_centrality(self.D, n), abs=1e-3)
 
+    def test_P2_normalized_load(self):
+        G = self.P2
+        c = nx.load_centrality(G, normalized=True)
+        d = {0: 0.000, 1: 0.000}
+        for n in sorted(G):
+            assert c[n] == pytest.approx(d[n], abs=1e-3)
+
     def test_weighted_load(self):
         b = nx.load_centrality(self.G, weight="weight", normalized=False)
         for n in sorted(self.G):