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https://hdl.handle.net/10119/15103
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| Title: | Single-Player and Two-Player Buttons & Scissors Games |
| Authors: | Burke, Kyle
Demaine, Erik D.
Hearn, Robert A.
Hesterberg, Adam
Hoffman, Michael
Ito, Hiro
Kostitsyna, Irina
Loffler, Maarten
Uno, Yushi
Schmidt, Christiane
Uehara, Ryuhei
Williams, Aaron |
| Keywords: | Buttons and Scissors Game
Computational Complexity
PSPACE-completeness
NP-completeness |
| Issue Date: | 2016-11-24 |
| Publisher: | Springer |
| Magazine name: | Lecture Notes in Computer Science |
| Volume: | 9943 |
| Start page: | 60 |
| End page: | 72 |
| DOI: | 10.1007/978-3-319-48532-4_6 |
| Abstract: | The Buttons and Scissors puzzle was recently shown to be NP-hard. In this paper we continue studying the complexity of various versions of the puzzle. For example, we show that it is NP-hard when the puzzle consists of C=2 colors, and polytime solvable for C=1. Similarly, it is NP-hard when each color is used by at most F=4 buttons, and polytime solvable for F=3. We also consider restrictions on the board size, cut directions, and cut lengths. Finally, we introduce new two-player games and show that they are PSPACE-complete. |
| Rights: | This is the author-created version of Springer, Kyle Burke, Eri k D. Demaine, Robert A. Hearn, Adam Hesterberg, Michael Hoffman, Hiro Ito, Irina Kostitsyna, Maarten Loffler, Yushi Uno, Christiane Schmidt, Ryuhei Uehara and Aaron Williams, Lecture Notes in Computer Science, 9943, 2016, 60-72. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-319-48532-4_6 |
| URI: | https://hdl.handle.net/10119/15103 |
| Material Type: | author |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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