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Single-Player and Two-Player Buttons & Scissors Games
Plymouth State University, NH, USA.
MIT, MA, USA.
Bard Coll Simons Rock, MA, USA.
Portola Valley, CA USA.
Show others and affiliations
2016 (English)In: DISCRETE AND COMPUTATIONAL GEOMETRY AND GRAPHS, JCDCGG 2015, SPRINGER INT PUBLISHING AG , 2016, Vol. 9943, 60-72 p.Conference paper, Published paper (Refereed)
Abstract [en]

We study the computational complexity of the Buttons amp; Scissors game and obtain sharp thresholds with respect to several parameters. Specifically we show that the game is NP-complete for C = 2 colors but polytime solvable for C = 1. Similarly the game is NP-complete if every color is used by at most F = 4 buttons but polytime solvable for F amp;lt;= 3. We also consider restrictions on the board size, cut directions, and cut sizes. Finally, we introduce several natural two-player versions of the game and show that they are PSPACE-complete.

Place, publisher, year, edition, pages
SPRINGER INT PUBLISHING AG , 2016. Vol. 9943, 60-72 p.
Series
Lecture Notes in Computer Science, ISSN 0302-9743 (print), 1611-3349 (online)
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-133774DOI: 10.1007/978-3-319-48532-4_6ISI: 000389794000006ISBN: 9783319485324 (electronic)ISBN: 9783319485317 (print)OAI: oai:DiVA.org:liu-133774DiVA: diva2:1063058
Conference
18th Japan Conference on Discrete and Computational Geometry and Graphs (JCDCG2)
Available from: 2017-01-09 Created: 2017-01-09 Last updated: 2017-01-20Bibliographically approved

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Schmidt, Christiane
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Communications and Transport SystemsFaculty of Science & Engineering
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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf