A network-based ranking system for US college football

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American college football faces a conflict created by the desire to stage national championship games between the best teams of a season when there is no conventional play-off system for deciding which those teams are. Instead, ranking of teams is based on their records of wins and losses during the season, but each team plays only a small fraction of eligible opponents, making the system underdetermined or contradictory or both. It is an interesting challenge to create a ranking system that at once is mathematically well founded, gives results in general accord with received wisdom concerning the relative strengths of the teams, and is based upon intuitive principles, allowing it to be accepted readily by fans and experts alike. Here we introduce a one-parameter ranking method that satisfies all of these requirements and is based on a network representation of college football schedules.
Publisher
IOP PUBLISHING LTD
Issue Date
2005-10
Language
English
Article Type
Article
Citation

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

ISSN
1742-5468
DOI
10.1088/1742-5468/2005/10/P10014
URI
http://hdl.handle.net/10203/93278
Appears in Collection
GCT-Journal Papers(저널논문)
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