Black Hole Search in Dynamic Tori
CoRR(2024)
摘要
We investigate the black hole search problem by a set of mobile agents in a
dynamic torus. Black hole is defined to be a dangerous stationary node which
has the capability to destroy any number of incoming agents without leaving any
trace of its existence. A torus of size n× m (3≤ n ≤ m) is a
collection of n row rings and m column rings, and the dynamicity is such
that each ring is considered to be 1-interval connected, i.e., in other words
at most one edge can be missing from each ring at any round. The parameters
which define the efficiency of any black hole search algorithm are: the number
of agents and the number of rounds (or time) for termination. We
consider two initial configurations of mobile agents: first, the agents are
co-located and second, the agents are scattered. In each case, we establish
lower and upper bounds on the number of agents and on the amount of time
required to solve the black hole search problem.
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