Chapter 6.1, Problem 39MS

Here we celebrate the power of algebra as a powerful way of finding unknown quantities by naming them, of expressing infinitely many relationships and connections clearly and succinetly, and of uncovering pattern and structure.

Family values. Your teacher claims to have a family of graphs where the graph with n vertices has $\left(\text{1/2}\right)\text{n}\left(\text{n — 1}\right)$ edges, and n can be any natural number. how many edges does the graph with 100 vertices have? What about the graph with two vertices? With one vertex? Draw examples of these last two graphs.