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Domineering on a Young Tableau
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2014 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

Domineerings is the classic combinatorial game in which players take turns placing

1 x 2 or 2 x 1 dominoes to cover a board of squares, losing when there is no space

available. In this paper, we study Domineering under the additional rule that the

board must be a

Young tableau at all times. We analyze some simple positions of

the game, solve the game for a specic family of boards, and present an interesting

conjecture.

Abstract [sv]

Domineering

är ett välkänt kombinatoriskt spel dar spelarna turas om att täcka

ett bräde med dominobrickor (brickor av storlek 12 eller 21) tills inga fler drag

är möjliga. I detta examensarbete undersoks Domineering med en ytterligare regel:

brädet måste hela tiden vara en Youngtabell. Spelet löses for en särskild mängd

bräden och en intressant formodan diskuteras.

Place, publisher, year, edition, pages
2014. , 16 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-147236OAI: oai:DiVA.org:kth-147236DiVA: diva2:729112
Supervisors
Available from: 2014-06-25 Created: 2014-06-25 Last updated: 2014-06-25Bibliographically approved

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Andreas Chen kandidatexamensarbete inom teknisk fysik.(196 kB)348 downloads
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