Graphs can be used in mathematics and other fields to represent objects and the connections between them. Here, we will use a directed graph to represent people in a social network and their friend connections with one another. In this directed graph nodes correspond to people. An edge between two nodes indicates frienship between the correspding people. The direction of the edge is chosen at random and carries no further meaning. A friend group is a connected component of this graph. We will use this to model the spread of a meme throughout this theoretical social network.