Graph Theory

Graph Theory was developed by Leonhard Euler to solve the 7 bridges of Konigsberg problem.

A graph $G$ is a collection of vertices, $V$, and edges, $E$.

So we say $G = <V,E>$

Here is an example of a graph:

Here is important terminology:

The are two types of graphs, undirected and directed. In a directed graph, order matters.

There are two types of “walks”. X-Y walks and closed walks.