| Título: | An Algorithm for Group Formation and Maximal Independent Set in an Amorphous Computer |
| Autores: |
Nagpal, Radhika Coore, Daniel |
| Fecha: |
2004-10-08 2004-10-08 1998-02-01 |
| Publicador: | |
| Fuente: |
Ver documento |
| Tipo: | |
| Tema: | |
| Descripción: | Amorphous computing is the study of programming ultra-scale computing environments of smart sensors and actuators cite{white-paper}. The individual elements are identical, asynchronous, randomly placed, embedded and communicate locally via wireless broadcast. Aggregating the processors into groups is a useful paradigm for programming an amorphous computer because groups can be used for specialization, increased robustness, and efficient resource allocation. This paper presents a new algorithm, called the clubs algorithm, for efficiently aggregating processors into groups in an amorphous computer, in time proportional to the local density of processors. The clubs algorithm is well-suited to the unique characteristics of an amorphous computer. In addition, the algorithm derives two properties from the physical embedding of the amorphous computer: an upper bound on the number of groups formed and a constant upper bound on the density of groups. The clubs algorithm can also be extended to find the maximal independent set (MIS) and $Delta + 1$ vertex coloring in an amorphous computer in $O(log N)$ rounds, where $N$ is the total number of elements and $Delta$ is the maximum degree. |
| Idioma: | Inglés |
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