Extremal properties of flood-filling games

@article{Meeks2015ExtremalPO,
  title={Extremal properties of flood-filling games},
  author={Kitty Meeks and Dominik K. Vu},
  journal={Discret. Math. Theor. Comput. Sci.},
  year={2015},
  volume={21}
}
  • Kitty MeeksD. Vu
  • Published 2 April 2015
  • Mathematics
  • Discret. Math. Theor. Comput. Sci.
The problem of determining the number of "flooding operations" required to make a given coloured graph monochromatic in the one-player combinatorial game Flood-It has been studied extensively from an algorithmic point of view, but basic questions about the maximum number of moves that might be required in the worst case remain unanswered. We begin a systematic investigation of such questions, with the goal of determining, for a given graph, the maximum number of moves that may be required… 

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