The Royle X graph

The royle_x_graph module defines the royle_x_graph function, which returns a strongly regular graph, as described by Royle [Roy2008].

AUTHORS:

  • Paul Leopardi (2016-10-19): initial version

boolean_cayley_graphs.royle_x_graph.royle_x_graph()[source]

Return a strongly regular graph, as described by Royle [Roy2008].

INPUT:

None.

OUTPUT:

An object of class Graph, representing Royle’s X graph [Roy2008].

EXAMPLES:

sage: from boolean_cayley_graphs.royle_x_graph import royle_x_graph
sage: g = royle_x_graph()
sage: g.is_strongly_regular()
True
sage: g.is_strongly_regular(parameters=True)
(64, 35, 18, 20)

REFERENCES:

Royle [Roy2008].