Dimensions of a Graph

Abstract

We introduce eight infinite sets of constants. Some we calculate. Roughly speaking, we seek graphs as small as possible. The graphs serve as examples for different kinds of ’dimensions’.

In the second part ’Points’, we place points on the plane, and from this, we ask infinite many questions.

In a third part, we introduce for each graph a sequence called the ‘Thuerey Numbers’. At the end, we summarize the open questions.