Thank you:

I want to thank alec, epostma, and Marvin Ray Burns. I have taken your suggestions and cut and paste then into a Maple worksheet which I will study immediately. I am currently writing some procedures to check various research results, and my dual-core pentium chip just took 39010.6 seconds to make one run of one of my procedures with the number of vertices equal to 8. I really need to run the 9 and 10 vertices cases since 9 represents a transition in the results.   Figuring out how to use the adjacency matrix representation with the GraphTheory package has now become a high priority. My procedure is too slow.