def build_gem_graph():
graph = build_5_cycle_graph()<EOL>graph.new_edge(<NUM_LIT:1>, <NUM_LIT:3>)<EOL>graph.new_edge(<NUM_LIT:1>, <NUM_LIT:4>)<EOL>return graph<EOL>
Builds a gem graph, F4,1.
       Ref: http://mathworld.wolfram.com/GemGraph.html