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arXiv · 1511.01806

Flood-it on AT-Free Graphs

Wing-Kai Hon·Ton Kloks·Fu-Hong Liu·Hsiang-Hsuan Liu·Hung-Lung Wang
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Abstract

Solitaire {\sc Flood-it}, or {\sc Honey-Bee}, is a game played on a colored graph. The player resides in a source vertex. Originally his territory is the maximal connected, monochromatic subgraph that contains the source. A move consists of calling a color. This conquers all the nodes of the graph that can be reached by a monochromatic path of that color from the current territory of the player. It is the aim of the player to add all vertices to his territory in a minimal number of moves. We show that the minimal number of moves can be computed in polynomial time when the game is played on AT-free graphs.

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Wing-Kai Hon, Ton Kloks, Fu-Hong Liu, Hsiang-Hsuan Liu, Hung-Lung Wang. 2015-11-05. Flood-it on AT-Free Graphs. https://arxiv.org/abs/1511.01806

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