基于网络的美国大学橄榄球排名系统
A network-based ranking system for American college football
摘要：
美国大学橄榄球面临着一场冲突，这场冲突是由一个赛季中最好的球队之间举行全国冠军赛的愿望造成的，因为没有传统的季后赛制度来决定这些球队是哪支球队。相反，球队的排名是基于他们在赛季中的输赢记录，但每支球队只打一小部分合格的对手，使系统欠确定或矛盾或两者兼而有之。这是一个有趣的挑战，创造一个排名系统，在一次是数学上有充分的依据，给出的结果与公认的智慧有关的相对优势的球队，是基于直观的原则，使它能够接受球迷和专家一样容易。在这里，我们介绍了一个单参数的排名方法，满足所有这些要求，是基于网络表示的大学足球时间表。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
