Mathematicians trace their scientific ancestry back to the great Paul Erdos and assign themselves an Erdos number. If you published a paper with Erdos you are an Erdos 1. If you published with an Erdos 1 you are an Erdos 2, etc. Biologist in various fields do the same thing, uncovering the lineage of mentorship that leads them to the greats of their field.
Can anyone trace a modern GCA back to one of the greats: Colt, MacKenzie, Ross, MacDonald, Tillinghast, Flynn, or Thomas?
In order to be linked to a GCA, another GCA must have collaborated on a course with him, worked for him, or studied under him. How many links does it take some of the modern GCAs to get back to the oldies?
Additionally, if people are interested, I think it would be fun to create the network of GCAs. We will need to collect all the information we have about all GCAs regarding who they worked for, studied under, and collaborated with. After creating this, we could determine the shortest path between any 2 GCAs in the network.
One final question: What do you think the average distance would be between any 2 randomly selected GCAs in the network? My guess is that it would be less than 8.