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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.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Conference athletic schedules: An application of projective geometry, finite fields, and graph theory./
Author:	Nelson, Alexandra.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
Description:	29 p.
Notes:	Source: Masters Abstracts International, Volume: 55-06.
Contained By:	Masters Abstracts International55-06(E).
Subject:	Mathematics. -
Online resource:	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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100 1 $a Nelson, Alexandra. $3 3343008
245 1 0 $a Conference athletic schedules: An application of projective geometry, finite fields, and graph theory.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2016
300 $a 29 p.
500 $a Source: Masters Abstracts International, Volume: 55-06.
500 $a Adviser: Bert Fristedt.
502 $a Thesis (M.S.)--University of Minnesota, 2016.
520 $a 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.
590 $a School code: 0130.
650 4 $a Mathematics. $3 515831
650 4 $a Applied mathematics. $3 2122814
650 4 $a Sports Management. $3 2122869
690 $a 0405
690 $a 0364
690 $a 0430
710 2 $a University of Minnesota. $b Mathematics. $3 1675975
773 0 $t Masters Abstracts International $g 55-06(E).
790 $a 0130
791 $a M.S.
792 $a 2016
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10142093