dorsal/arxiv
View SchemaA network-based ranking system for American college football
| Authors | Juyong Park, M. E. J. Newman |
|---|---|
| Categories | |
| ArXiv ID | physics/0505169 |
| URL | https://arxiv.org/abs/physics/0505169 |
| DOI | 10.1088/1742-5468/2005/10/P10014 |
| Journal | Journal of Statistical Mechanics, P10014 (2005) |
Abstract
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 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.
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"abstract": "American college football faces a conflict created by the desire to stage\nnational championship games between the best teams of a season when there is no\nconventional playoff system to decide which those teams are. Instead, ranking\nof teams is based on their record of wins and losses during the season, but\neach team plays only a small fraction of eligible opponents, making the system\nunderdetermined or contradictory or both. It is an interesting challenge to\ncreate a ranking system that at once is mathematically well-founded, gives\nresults in general accord with received wisdom concerning the relative\nstrengths of the teams, and is based upon intuitive principles, allowing it to\nbe accepted readily by fans and experts alike. Here we introduce a\none-parameter ranking method that satisfies all of these requirements and is\nbased on a network representation of college football schedules.",
"arxiv_id": "physics/0505169",
"authors": [
"Juyong Park",
"M. E. J. Newman"
],
"categories": [
"physics.soc-ph",
"cond-mat.dis-nn",
"physics.data-an"
],
"doi": "10.1088/1742-5468/2005/10/P10014",
"journal_ref": "Journal of Statistical Mechanics, P10014 (2005)",
"title": "A network-based ranking system for American college football",
"url": "https://arxiv.org/abs/physics/0505169"
},
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