
doi: 10.1137/0402028
Summary: 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 \(0((n+m)/\log n)\) processors and runs in \(0(\log^ 3\) 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.
EREW PRAM model, Graph theory (including graph drawing) in computer science, deterministic NC-algorithm, Models of computation (Turing machines, etc.), maximal independent set
EREW PRAM model, Graph theory (including graph drawing) in computer science, deterministic NC-algorithm, Models of computation (Turing machines, etc.), maximal independent set
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