A network-based ranking system for American college football

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dc.creatorPark, Juyong
dc.creatorNewman, M. E. J.
dc.date2005-05-24
dc.date2005-10-31
dc.date.accessioned2026-07-07T06:40:38Z
dc.date.available2026-07-07T06:40:38Z
dc.descriptionAmerican 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 playoff system to decide which those teams are. Instead, ranking of teams is based on their record 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.
dc.description15 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/physics/0505169
dc.identifierhttp://arxiv.org/abs/physics/0505169
dc.identifierJournal of Statistical Mechanics, P10014 (2005)
dc.identifierdoi:10.1088/1742-5468/2005/10/P10014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101441
dc.subjectPhysics and Society
dc.subjectDisordered Systems and Neural Networks
dc.subjectData Analysis, Statistics and Probability
dc.titleA network-based ranking system for American college football
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