3 papers
cs.CC2026
Tetris is Hard with Just One Piece Type
MIT Hardness Group, Josh Brunner, Erik D. Demaine +2
We analyze the computational complexity of Tetris clearing (determining whether the player can clear an initial board using a given sequence of pieces) and survival (determining wh…
cs.CC2026
Planar Graph Orientation Frameworks, Applied to KPlumber and Polyomino Tiling
MIT Hardness Group, Zachary Abel, Erik D. Demaine +3
Given a graph, when can we orient the edges to satisfy local constraints at the vertices, where each vertex specifies which local orientations of its incident edges are allowed? Th…
cs.CC2020
Walking through Doors is Hard, even without Staircases: Universality and PSPACE-hardness of Planar Door Gadgets
MIT Gadgets Group, Jeffrey Bosboom, Erik D. Demaine +4
An open-close door gadget has two states and three tunnels that can be traversed by an agent (player, robot, etc.): the "opening" and "closing" tunnels set the gadget's state to op…