max planck institut
informatik

# MPI-I-2004-1-003

## On algorithms for online topological ordering and sorting

### Katriel, Irit

MPI-I-2004-1-003. February 2004, 15 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We derive several results about algorithms for the online
topological ordering and sorting problems. The main result
is that a slight variation on an algorithm by Alpern et al.
yields an amortized complexity of $\sqrt{m}\log n$ per edge
for an $n$-node $m$-edge DAG. This is an improvement, for all
except very dense graphs, over the best known previous result
of $O(n)$ per edge due to Marchetti-Spaccamela et al.
Acknowledgement:
References to related material:

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BibTeX
@TECHREPORT{Katriel2004,
AUTHOR = {Katriel, Irit},
TITLE = {On algorithms for online topological ordering and sorting},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
NUMBER = {MPI-I-2004-1-003},
MONTH = {February},
YEAR = {2004},
ISSN = {0946-011X},
}