Publication details
It is tough to be a plumber
| Authors | |
|---|---|
| Year of publication | 2004 |
| Type | Article in Periodical |
| Magazine / Source | Theoretical Computer Science |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.tcs.2002.12.002 |
| Keywords | combinatorial game theory; NP-completeness |
| Description | 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. |