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Locating a Black Hole in an Un-oriented Ring Using Tokens: The Case of Scattered Agents

机译:使用令牌定位在未导向的环中的黑洞:分散剂的情况

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Black hole search in a ring network has been studied in a token model. It is known that locating the black hole in an anonymous ring using tokens is feasible, if the team of agents is initially co-located. When dealing with the scattered agents, the problem was so far solved only when the orientation of the ring is known. In this paper, we prove that a black hole can be located in a ring using tokens with scattered agents, even if the ring is un-oriented. More precisely, first we prove that the black hole search problem can be solved using only three scattered agents. We then show that, with k (K≥4) scattered agents, the black hole can be located fewer moves. Moreover, when k ( K≥4 ) is a constant number, the move cost can be made optimal. These results hold even if both agents and nodes are anonymous.
机译:在令牌模型中研究了环网中的黑洞搜索。众所周知,如果代理团队最初共同定位,则使用令牌将黑洞定位在匿名环中使用令牌是可行的。在处理散射的代理时,才是迄今为止在众所周知的戒指的方向时解决的问题。在本文中,我们证明了一个黑洞,即使环未取向,也可以使用带散射剂的令牌位于环中。更精确地,首先,我们证明了只有三种分散的代理可以解决黑洞搜索问题。然后,我们表明,用K(k≥4)散射剂,黑洞可以位于较少的移动。此外,当K(k≥4)是恒定数时,可以使移动成本最佳。这些结果即使两个代理和节点都是匿名的。

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