Abstract
The problem of constructing in parallel a maximal independent set of a given graph is considered. A new deterministic NC-algorithm implemented in the EREW PRAM model is presented. On graphs with n vertices and m edges, it uses $O((n + m)/\log n)$ processors and runs in $O(\log^3 n)$ time. This reduces by a factor of $\log n$ both the running time and the processor count of the previously fastest deterministic algorithm that solves the problem using a linear number of processors.
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