An FPT algorithm for orthogonal buttons and scissors
نویسندگان
چکیده
منابع مشابه
Buttons & Scissors is NP-Complete
Buttons & Scissors is a popular single-player puzzle. A level is played on an n-by-n grid, where each position is empty or has a single coloured button sewn onto it. The player’s goal is to remove all of the buttons using a sequence of horizontal, vertical, and diagonal scissor cuts. Each cut removes all buttons between two distinct buttons of the same colour, and is not valid if there is an in...
متن کاملSingle-Player and Two-Player Buttons & Scissors Games - (Extended Abstract)
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-complete for C = 2 colors but polytime solvable for C = 1. Similarly the game is NP-complete if every color is used by at most F = 4 buttons but polytime solvable for F ≤ 3. We also consider restrictions on the board size, ...
متن کاملSingle-Player and Two-Player Buttons & Scissors Games
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-complete for C = 2 colors but polytime solvable for C = 1. Similarly the game is NP-complete if every color is used by at most F = 4 buttons but polytime solvable for F ≤ 3. We also consider restrictions on the board size, ...
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We give a 5n time fixed-parameter algorithm for determining whether a given undirected graph on n vertices has a subset of at most k vertices whose deletion results in a tree. Such a subset is a restricted form of a feedback vertex set. While parameterized complexity of feedback vertex set problem and several of its variations have been well studied, to the best of our knowledge, this is the fi...
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ژورنال
عنوان ژورنال: Information Processing Letters
سال: 2020
ISSN: 0020-0190
DOI: 10.1016/j.ipl.2020.105997