This network was made using data from freebase.  Here, each node represents a Fortune 500 company and an edge is placed between them for every board member they share.  Let me first say that I didn’t think I would find so many connections.  We analyzed this multigraph using the extended multigraph model which included a clustering factor.  Shown below is one cluster with red edges signifying two companies which share more board members than expected and blue edges showing which other companies has at least one shared board member but the number is not statistically significant.  Unfortunately we are still writing this paper so I cannot release the full view until the paper is accepted.