Above is an undirected graph of all games played by the 128 Division 1 FBS in the 2016 football season with divisions distinguished by color.
Below are small scale examples of how our algorithm works.
Select Example:

Example 1
 4 node example with equal edgeweights

Example 2
 5 node example with different edgeweights

Example 3
 5 node example with different edgeweights and cycles

Example 4
 5 node acyclic graph example

Example 5
 6 node example with equal edgeweights