4 citations · 9 across the 6 of their papers we have counts for
8 papers
Solving Rep-tile by Computers: Performance of Solvers and Analyses of Solutions
Mutsunori Banbara, Kenji Hashimoto, Takashi Horiyama +7
A rep-tile is a polygon that can be dissected into smaller copies (of the same size) of the original polygon. A polyomino is a polygon that is formed by joining one or more unit sq…
Yin-Yang Puzzles are NP-complete
Erik D. Demaine, Jayson Lynch, Mikhail Rudoy +1
We prove NP-completeness of Yin-Yang / Shiromaru-Kuromaru pencil-and-paper puzzles. Viewed as a graph partitioning problem, we prove NP-completeness of partitioning a rectangular g…
Gourds: a sliding-block puzzle with turning
Joep Hamersma, Marc van Kreveld, Yushi Uno +1
We propose a new kind of sliding-block puzzle, called Gourds, where the objective is to rearrange 1 x 2 pieces on a hexagonal grid board of 2n + 1 cells with n pieces, using slidin…
Reconfiguring Undirected Paths
Erik D. Demaine, David Eppstein, Adam Hesterberg +4
We consider problems in which a simple path of fixed length, in an undirected graph, is to be shifted from a start position to a goal position by moves that add an edge to either e…
Swapping Colored Tokens on Graphs
Katsuhisa Yamanaka, Takashi Horiyama, J. Mark Keil +5
We investigate the computational complexity of the following problem. We are given a graph in which each vertex has an initial and a target color. Each pair of adjacent vertices ca…
Single-Player and Two-Player Buttons & Scissors Games
Kyle Burke, Erik D. Demaine, Harrison Gregg +12
We study the computational complexity of the Buttons \& Scissors game and obtain sharp thresholds with respect to several parameters. Specifically we show that the game is NP-compl…