This short story, centered around Perry and Kat’s affair, takes place during their 7th year participating in a reenactment of Custer’s Last Stand. Through the story, it is clear that they are both the central figures of the plot. The network graph below depicts the implied relationships or interactions with characters. In it, Perry and the bartender are shown as central figures. Perry, being the center of the narrative is understandable in this, the bartender, however, is less of a predictable center.
In the story, it is revealed that he is related to Kat and knows her grandmother and husband. At the same time, he interacts with Perry. While this is fitting with the stereotypes of his job, it does not necessarily tell us anything about the story or the interactions that take place. 
What the network graph does do a good job in depicting is how separate the various spheres of Perry’s life are. Which is understandable considering his extramarital affair with Kat.
While slightly helpful, this network graph is not the most effective way for understanding these connections. There are so few characters in the story that one can be aware of al the connections without the visualization.