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Conference athletic schedules : = An...

ProQuest Information and Learning Co.

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

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Conference athletic schedules :/
Reminder of title:	An application of projective geometry, finite fields, and graph theory.
Author:	Nelson, Alexandra.
Description:	1 online resource (29 pages)
Notes:	Source: Masters Abstracts International, Volume: 55-06.
Contained By:	Masters Abstracts International55-06(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
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. - 1 online resource (29 pages)

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

Thesis (M.S.)

Includes bibliographical references

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.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781339974163Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Conference athletic schedules : = An application of projective geometry, finite fields, and graph theory.
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020 $a 9781339974163
035 $a (MiAaPQ)AAI10142093
035 $a (MiAaPQ)umn:17185
035 $a AAI10142093
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Nelson, Alexandra. $3 1180496
245 1 0 $a Conference athletic schedules : $b An application of projective geometry, finite fields, and graph theory.
264 0 $c 2016
300 $a 1 online resource (29 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Masters Abstracts International, Volume: 55-06.
500 $a Adviser: Bert Fristedt.
502 $a Thesis (M.S.) $c University of Minnesota $d 2016.
504 $a Includes bibliographical references
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Applied mathematics. $3 1069907
650 4 $a Sports Management. $3 1180497
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0364
690 $a 0430
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Minnesota. $b Mathematics. $3 1180493
773 0 $t Masters Abstracts International $g 55-06(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10142093 $z click for full text (PQDT)

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