diff --git a/libpysal/weights/gabriel.py b/libpysal/weights/gabriel.py
index 82a111539..2ef8cdaf0 100644
--- a/libpysal/weights/gabriel.py
+++ b/libpysal/weights/gabriel.py
@@ -332,9 +332,9 @@ def _filter_relativehood(edges, coordinates, return_dkmax=False):
     2. for each edge of the delaunay (i,j), compute
        dkmax = max(d(k,i), d(k,j)) for k in 1..n, k != i, j
     3. for each edge of the delaunay (i,j), prune
-       if any dkmax is greater than d(i,j)
+       if any dkmax is smaller than d(i,j)
     """
-    n = edges.max()
+    n = len(coordinates)
     out = []
     r = []
     for edge in edges:
@@ -345,11 +345,12 @@ def _filter_relativehood(edges, coordinates, return_dkmax=False):
         dij = ((pi - pj) ** 2).sum() ** 0.5
         prune = False
         for k in range(n):
+            if k in (i, j):
+                continue
             pk = coordinates[k]
             dik = ((pi - pk) ** 2).sum() ** 0.5
             djk = ((pj - pk) ** 2).sum() ** 0.5
-            distances = numpy.array([dik, djk, dkmax])
-            dkmax = distances.max()
+            dkmax = max(dik, djk)
             prune = dkmax < dij
             if (not return_dkmax) & prune:
                 break
diff --git a/libpysal/weights/tests/test_gabriel.py b/libpysal/weights/tests/test_gabriel.py
index 9dcbc5de9..5aefa5a48 100644
--- a/libpysal/weights/tests/test_gabriel.py
+++ b/libpysal/weights/tests/test_gabriel.py
@@ -39,8 +39,12 @@ def test_rng():
 
     assert e.neighbors == f.neighbors
 
+    # RNG should be a subgraph of Delaunay
+    for k, neighbors in e.neighbors.items():
+        assert set(neighbors) <= set(dty[k])
+
     assert e[1] != dty[1]
-    assert list(e[1].keys()) == [0, 3, 6, 30, 38]
+    assert list(e[1].keys()) == [0, 3]
     for focal, neighbors in e.neighbors.items():
         dneighbors = dty[focal]
         assert set(neighbors) <= set(dneighbors)