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Conference athletic schedules: An ap...

Nelson, Alexandra.

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Conference athletic schedules: An application of projective geometry, finite fields, and graph theory.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Conference athletic schedules: An application of projective geometry, finite fields, and graph theory./
作者:	Nelson, Alexandra.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:	29 p.
附註:	Source: Masters Abstracts International, Volume: 55-06.
Contained By:	Masters Abstracts International55-06(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10142093
ISBN:	9781339974163

Conference athletic schedules: An application of projective geometry, finite fields, and graph theory.
Nelson, Alexandra.

Conference athletic schedules: An application of projective geometry, finite fields, and graph theory. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 29 p.

Source: Masters Abstracts International, Volume: 55-06.

Thesis (M.S.)--University of Minnesota, 2016.

This paper solves a problem faced by the Suburban East Conference of the Minnesota State High School League in 2009, of designing a consistent wrestling schedule to accommodate a new school. We adapt the application of projective geometry of finite fields to general scheduling problems, and develop an algorithm for determining a schedule. We prove that this algorithm can be completed, will yield the desired schedule, and can yield all possible schedules in the desired format. We also model the schedule with bipartite graphs, and use edge colorings to complete the schedule with home and away assignments.

ISBN: 9781339974163Subjects--Topical Terms:

515831
Mathematics.

Conference athletic schedules: An application of projective geometry, finite fields, and graph theory.
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