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Informace o publikaci
It is tough to be a plumber
Autoři | |
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Rok publikování | 2004 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Theoretical Computer Science |
Citace | |
Doi | http://dx.doi.org/10.1016/j.tcs.2002.12.002 |
Klíčová slova | combinatorial game theory; NP-completeness |
Popis | In the Linux computer game KPlumber, the objective is to rotate tiles in a raster of squares so as to complete a system of pipes. We give a complexity classification for the original game and various special cases of it that arise from restricting the set of six possible tiles. Most of the cases are NP-complete. One polynomially solvable case is settled by formulating it as a perfect matching problem; other polynomial cases are settled by simple sweepline techniques. Moreover, we show that all the unsettled cases are polynomial time equivalent. (C) 2003 Elsevier B.V. All rights reserved. |