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# A Work-Optimal Algorithm on log delta n Processors for a P-Complete Problem

1 RESEDAS - Software Tools for Telecommunications and Distributed Systems
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We present a parallel algorithm for the Lexicographically First Maximal Independent Set Problem on graphs with bounded degree 3 that is work-optimal on a shared memory machine with up to $\log ^\delta n$ processors, for any $0 < \delta < 1$. Since this problem is P-complete it follows (assuming $\mathcalNC \not \mathcalP$) that the algorithmics of coarse grained parallel machines and of fine grained parallel machines differ substantially.
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Cited literature [9 references]

https://hal.inria.fr/inria-00072448
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Submitted on : Wednesday, May 24, 2006 - 9:59:21 AM
Last modification on : Friday, February 4, 2022 - 3:30:09 AM
Long-term archiving on: : Sunday, April 4, 2010 - 8:54:44 PM

### Identifiers

• HAL Id : inria-00072448, version 1

### Citation

Jens Gustedt, Jan Arne Telle. A Work-Optimal Algorithm on log delta n Processors for a P-Complete Problem. [Research Report] RR-4174, INRIA. 2001, pp.9. ⟨inria-00072448⟩

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