A Complex Network Analysis of the Top College Coaches

To find the best all time college coach, we analyze synthetically the college coaches of all time in the field of football. First, we collect the necessary data and build the index set which is composed of Win-Loss percentage, SRS, SOS, Championship index and Games. After screening the data with the vital indexes like Win-Loss percentage and Games, we select the coaches who are qualified to be the best one. In view of the effect of the time line horizon, we rank the coaches annually with grey relational analysis model based on Entropy Method. Since there are only a portion of coaches to be ranked in one year, we set up top coach network to link all coaches, in which vertexes refer to coaches. Applying the network, we calculate the prestige score and correct it by considering the effect of the strength of teams. With the help of prestige score, we gain the final rank.