1. Linear time and space gathering of anonymous mobile agents in asynchronous trees.
- Author
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Baba, Daisuke, Izumi, Tomoko, Ooshita, Fukuhito, Kakugawa, Hirotsugu, and Masuzawa, Toshimitsu
- Subjects
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LINEAR systems , *ALGEBRAIC spaces , *MOBILE agent systems , *INTELLIGENT agents , *COMPUTATIONAL complexity , *COMPUTER networks - Abstract
Abstract: We investigate the relation between the (ideal) time and space complexities for the gathering problem with anonymous agents in asynchronous anonymous tree networks. The gathering problem requires that all the agents in the network have to meet at a single node within a finite time. Although an asymptotically space-optimal algorithm is known, its time complexity is quite large. In this paper, we consider asymptotically (ideal-)time-optimal algorithms and investigate the minimum memory requirement per agent for asymptotically time-optimal algorithms. First, we show that there exists a tree with nodes in which bits of memory per agent is required to solve the gathering problem in time (asymptotically time-optimal). Then, we present an asymptotically time-optimal gathering algorithm. This algorithm can be executed if each agent has bits of memory. From this lower/upper bound, this algorithm is asymptotically space-optimal on the condition that the time complexity is asymptotically optimal. [Copyright &y& Elsevier]
- Published
- 2013
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