max planck institut
informatik

# MPI-I-97-1-011

## A parallel priority queue with constant time operations

### Brodal, Gerth Stølting and Träff, Jesper L. and Zaroliagis, Christos D.

MPI-I-97-1-011. May 1997, 19 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We present a parallel priority queue that supports the following
operations in constant time: {\em parallel insertion\/} of a sequence of
elements ordered according to key,
{\em parallel decrease key\/} for a sequence of elements ordered
according to key, {\em deletion of the minimum key element},
as well as {\em deletion of an arbitrary element}. Our data structure is
the first to
support multi insertion and multi decrease key in constant time. The
priority queue can be implemented on the EREW PRAM, and can perform any
sequence of $n$ operations in $O(n)$ time and $O(m\log n)$ work,
$m$ being the total number of keys inserted and/or updated. A main
application is a parallel implementation of Dijkstra's algorithm for the
single-source shortest path problem, which runs in $O(n)$ time and
$O(m\log n)$ work on a CREW PRAM on graphs with $n$ vertices and $m$
edges. This is a logarithmic factor improvement in the running time
compared with previous approaches.

Acknowledgement:
References to related material:

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URL to this document: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1997-1-011
BibTeX
@TECHREPORT{BrodalTráffZaroliagis97,
AUTHOR = {Brodal, Gerth Stølting and Tr{\"a}ff, Jesper L. and Zaroliagis, Christos D.},
TITLE = {A parallel priority queue with constant time operations},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},