renamed locally GQ function and added references

src/sage/graphs/generators/distance_regular.pyx

@@ -68,10 +68,10 @@ def cocliques_HoffmannSingleton():
     G = Graph(edges, format="list_of_edges")
     return G
 
-def locally_GQ42_graph():
+def locally_GQ42_distance_transitive_graph():
     r"""
-    Return the unique amply regular graph which is locally a generalised
-    quadrangle.
+    Return the unique amply regular graph with `\mu = 6` which is locally
+    a generalised quadrangle.
 
     This graph is distance-regular with intersection array
     `[45, 32, 12, 1; 1, 6, 32, 45]`.
@@ -80,9 +80,14 @@ def locally_GQ42_graph():
 
     EXAMPLES::
 
-        sage: G = graphs.locally_GQ42_graph()  # optional - internet
+        sage: G = graphs.locally_GQ42_distance_transitive_graph()  # optional - internet
         sage: G.is_distance_regular(True)  # optional - internet
         ([45, 32, 12, 1, None], [None, 1, 6, 32, 45])
+
+    REFERENCES:
+
+    A description of this graph can be found in [BCN1989]_ p.399.
+    This construction is due to Dima Pasechnik.
     """
     H = libgap.AtlasGroup("3^2.U4(3).D8", libgap.NrMovedPoints, 756)
     Ns = H.NormalSubgroups()
@@ -107,6 +112,11 @@ def ConwaySmith_for_3S7():
         sage: G = graphs.ConwaySmith_for_3S7()
         sage: G.is_distance_regular(True)
         ([10, 6, 4, 1, None], [None, 1, 2, 6, 10])
+
+    REFERENCES:
+
+    A description and construction of this graph can be found in
+    [BCN1989]_ p. 399.
     """
     from sage.rings.number_field.number_field import CyclotomicField
     import itertools
@@ -187,6 +197,11 @@ def graph_3O73():
         sage: G = graphs.graph_3O73()  # optional - internet
         sage: G.is_distance_regular(True)  # optional - internet
         ([117, 80, 24, 1, None], [None, 1, 12, 80, 117])
+
+    REFERENCES:
+
+    A description and construction of this graph can be found in
+    [BCN1989]_ p. 400.
     """
     group = libgap.AtlasGroup("3.O7(3)", libgap.NrMovedPoints, 1134)
     G = Graph(libgap.Orbit(group, [1, 3], libgap.OnSets), format='list_of_edges')

src/sage/graphs/graph_generators.py

@@ -145,7 +145,7 @@ def __append_to_doc(methods):
      "KrackhardtKiteGraph",
      "Klein3RegularGraph",
      "Klein7RegularGraph",
-     "locally_GQ42_graph",
+     "locally_GQ42_distance_transitive_graph",
      "LocalMcLaughlinGraph",
      "LjubljanaGraph",
      "LivingstoneGraph",
@@ -1969,7 +1969,7 @@ def quadrangulations(self, order, minimum_degree=None, minimum_connectivity=None
     KrackhardtKiteGraph      = staticmethod(smallgraphs.KrackhardtKiteGraph)
     Klein3RegularGraph       = staticmethod(smallgraphs.Klein3RegularGraph)
     Klein7RegularGraph       = staticmethod(smallgraphs.Klein7RegularGraph)
-    locally_GQ42_graph       = staticmethod(distance_regular.locally_GQ42_graph)
+    locally_GQ42_distance_transitive_graph = staticmethod(distance_regular.locally_GQ42_distance_transitive_graph)
     LocalMcLaughlinGraph     = staticmethod(smallgraphs.LocalMcLaughlinGraph)
     LjubljanaGraph           = staticmethod(smallgraphs.LjubljanaGraph)
     LivingstoneGraph         = staticmethod(smallgraphs.LivingstoneGraph)