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Approximate parallel scheduling: Part I: The basic technique with applications to optimal parallel list ranking in logarithmic time

Journal Article · · SIAM J. Comput.; (United States)
DOI:https://doi.org/10.1137/0217009· OSTI ID:7020008

The authors define a novel scheduling problem; it is solved in parallel by repeated, rapid, approximate reschedulings. This leads to the first optimal logarithmic time PRAM algorithm for list ranking. Companion papers show how to apply these results to obtain improved PRAM upper bounds for a variety of problems on graphs, including the following: connectivity, biconnectivity, Euler tour and st-numbering, and a number of problems on trees.

Research Organization:
Courant Institute of Mathematical Sciences, New York Univ., New York, NY (US)
OSTI ID:
7020008
Journal Information:
SIAM J. Comput.; (United States), Journal Name: SIAM J. Comput.; (United States) Vol. 17:1; ISSN SMJCA
Country of Publication:
United States
Language:
English