The researchers looked at a new type of network called a hexagon star network. They wanted to understand how this network is structured and how it works. In a hexagon star network, computers are connected to a central computer, but not to each other. If the central computer fails, the whole network fails. The researchers used a graph to represent this network, with vertices for computers and edges for connections. They found that the hexagon star network has a unique structure that can affect how information is shared between computers.