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Black Virus Decontamination of Synchronous Ring Networks by Initially Scattered Mobile Agents

机译:最初分散的移动代理对同步环网络进行的黑色病毒净化

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We study the Black Virus Decontamination problem in ring topologies for initially scattered mobile agents. In this problem a number of mobile agents operate in a network where one of its nodes u is hostile (contaminated) in the following way: when u is visited by an agent, it is decontaminated, the agent vanishes without leaving any trace, and all adjacent nodes of u which are unoccupied by agents are now contaminated. The goal is to find the minimum number of agents that can decontaminate a given network with a black virus at an unknown location and design a fast distributed algorithm for a certain (preferably weak) model of mobile agents. The problem has been introduced by J., Cai et al in 2014 and combines details from two widely studied problems: the Black Hole Search problem and the Intruder Capture problem. We study here the problem for initially scattered mobile agents in synchronous ring topologies. We prove that ten initially scattered agents with a common chirality (i.e., agreement in a global sense of orientation) are necessary and sufficient to solve the problem. If the agents do not have a common chirality then twelve scattered agents with distinct identities are necessary and sufficient, while for anonymous agents the problem is unsolvable. To the best of our knowledge these are the first results concerning the problem for initially scattered agents.
机译:我们研究了最初分散的移动代理在环形拓扑中的黑色病毒净化问题。在此问题中,许多移动代理在网络中运行,在该网络中,它的一个节点u通过以下方式被敌对(污染):当代理访问u时,该代理被净化,该代理消失而没有任何痕迹,并且所有u的未被代理占用的相邻节点现在已被污染。目的是找到可以在未知位置用黑色病毒净化给定网络的最小数量的代理,并为某种(最好是弱)模型的移动代理设计一种快速分布式算法。该问题由J.,Cai等人在2014年引入,它结合了两个被广泛研究的问题的详细信息:黑洞搜索问题和入侵者捕获问题。我们在这里研究同步环拓扑中最初分散的移动代理的问题。我们证明了十个具有共同手性(即在全球方向上达成一致)的最初分散的代理对于解决该问题是必要和充分的。如果代理没有共同的手性,则十二个具有不同身份的分散代理是必要和足够的,而对于匿名代理,问题是无法解决的。据我们所知,这是与最初分散的代理商有关的问题的第一批结果。

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