NFL Graph Theory
So far this year:
New England beat Tennessee; Tennessee beat Detroit; Detroit beat Philadelphia, Philadelphia beat the NY Giants; the Giants beat Carolina; Carolina beat New Orleans; New Orleans beat San Diego; San Diego beat Oakland; Oakland beat Pittsburgh; Pittsburgh beat the NY Jets beat Indianapolis; Indianapolis beat Minnesota; Minnesota beat San Francisco; SAn Francisco beat Green Bay; Green Bay beat Chicago; Chicago beat St. Louis; and St. Louis beat Arizona; who beat the Patriots.
Here’s a directed graph of the entire NFL so far this year with the cycle I described about highlighted in think black edges. Node size is proportional to the number of team wins, and the colored groups are the divisions.