Summer Work

So most of you guys don't know what doing this summer in any specific detail, so I figured that's a moderately interesting thing to explain. I'm doing math research, specifically in the area of Graph Pebbling, which is a sub-field of Graph Theory.

My current goal is to prove that the graphs produced by a certain construction are Class 0, or that the pebbling number of the graph (see the wikipedia link) is equal to the number of vertices of the graph. Here is one graph produced by said construction:
Anyway, that's a taste of what my summer is like.