Dear Paula, it is not clear what your question *is*.
Some tips:
Don't state your question in the thread title. A better thread title might be "A question on random graphs."
Secondly, *define your terms*: the same mathematical objects can be given different names in different branches of math, and the same name can sometimes be assigned to different objects in math, when used in different areas-for example "inverse" means something different for functions than it does for fractions (although they are similar).
Third, although your course may only last for 5 weeks, there is no "real-life" time limit on knowledge and understanding (except that imposed by our life-span). If your goal is to "pass the course" that is not quite the same as "mastering discrete mathematics". We can help you with both, of course, but we'll be more effective (and more willing to) with the latter, but I cannot (nor do I think any others here can) guarantee the 5 week goal.
Fourth, we usually require posters to show *some* effort at a solution. This is not draconian policy on our part-we honestly do not know "what you know", and where you become confused. To help you, you have to help us understand "what you don't understand."