ABSTRACT
The types of images that are created vary greatly, depending on what we are trying to “see” in the mathematics, and incorporate basic natural geometric objects, such as points, lines, rectangles and circles. Vision allows us to understand and manipulate all sorts of information in our surroundings. Visualization is important for much more than just numbers—it is very helpful to “see” relationships between objects. And this brings us to the fascinating and oh so useful topic of graphs and networks. The graph on the right is directed—the edges have arrows on them. Connectivity plays an important role in the existence of Eulerian circuits and Hamiltonian cycles, as well as in many other problems on graphs. There are many, many other applications of shortest path algorithms.
