# 2.8 Degrees & Isomorphism

## Non-Isomorphic Graphs

Let's call the graph on the left $$G$$ and the graph on the right $$H$$. The two graphs are not isomorphic. Indicate which of the following assertions can prove this fact.

Exercise 1

Note that the last assertion mentions properties that are preserved under isomorphism, and so if it were true, it could prove that $$G$$ and $$H$$ are not isomorphic. Unfortunately, this assertion isn't true; both graphs actually have an edge that is incident to two vertices of degree 3.