MPI-I-92-127
A lower bound for set intersection queries
Mehlhorn, Kurt and Uhrig, Christian and Raman, Rajeev
April 1992, 14 pages.
.
Status: available - back from printing
We consider the following {\em set intersection reporting\/} problem.
We have a collection of initially empty sets and would like to
process an intermixed sequence of $n$ updates (insertions into and
deletions from individual sets) and $q$ queries (reporting the
intersection of two sets). We cast this problem in the
{\em arithmetic\/} model of computation of Fredman
and Yao and show that any algorithm that fits
in this model must take $\Omega(q + n \sqrt{q})$ to
process a sequence of $n$ updates and $q$ queries,
ignoring factors that are polynomial in $\log n$.
By adapting an algorithm due to Yellin
we can show that this bound
is tight in this model of computation, again
to within a polynomial in $\log n$ factor.
URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1992-127
BibTeX
@TECHREPORT{MehlhornUhrigRaman92,
AUTHOR = {Mehlhorn, Kurt and Uhrig, Christian and Raman, Rajeev},
TITLE = {A lower bound for set intersection queries},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
NUMBER = {MPI-I-92-127},
MONTH = {April},
YEAR = {1992},
ISSN = {0946-011X},
}