狮子和污染:单调的清理

Daniel Bertschinger, Meghana M. Reddy, Enrico Mann
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引用次数: 0

摘要

我们考虑一种特殊的追捕逃避游戏,叫做狮子和污染。在一个顶点最初被污染的图中,一组狮子绕着图走,清除它们所访问的每个顶点上的污染。然而,污染同时扩散到任何邻近的没有狮子占据的顶点。我们研究了不同类型图的清除之间的关系,例如不允许再污染的清除,每个时间步最多移动一个狮子的清除以及禁止狮子堆叠在同一顶点上的清除。我们回答了Adams等人提出的几个问题。
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Lions and Contamination: Monotone Clearings
We consider a special variant of a pursuit-evasion game called lions and contamination. In a graph whose vertices are originally contaminated, a set of lions walk around the graph and clear the contamination from every vertex they visit. The contamination, however, simultaneously spreads to any adjacent vertex not occupied by a lion. We study the relationship between different types of clearings of graphs, such as clearings which do not allow recontamination, clearings where at most one lion moves at each time step and clearings where lions are forbidden to be stacked on the same vertex. We answer several questions raised by Adams et al. [2].
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