Flooding games on graphs

  • Authors:
  • A. Lagoutte;M. Noual;E. Thierry

  • Affiliations:
  • -;-;-

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2014

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Abstract

We study a discrete diffusion process introduced in some combinatorial puzzles called Flood-It, Mad Virus, or Honey-Bee, that can be played online and whose computational complexities have recently been studied. Originally defined on regular boards, we show that studying their dynamics directly on general graphs is valuable: we synthesize and extend previous results, we show how to solve Flood-It on cycles by computing a poset height and how to solve the 2-Free-Flood-It variant by computing a graph radius.