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MPI-I-94-112

On-line and Dynamic Shortest Paths through Graph Decompositions (Preliminary Version)

Djidjev, Hristo N. and Pantziou, Grammati E. and Zaroliagis, Christos D.

MPI-I-94-112. April 1994, 14 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We describe algorithms for finding shortest paths and distances in a
planar digraph which exploit the particular topology of the input graph.
We give both sequential and parallel algorithms that
work on a dynamic environment, where the cost of any edge
can be changed or the edge can be deleted.
For outerplanar digraphs, for instance, the data
structures can be updated after any such change in only $O(\log n)$
time, where $n$ is the number of vertices of the digraph.
The parallel algorithms presented here are the first known ones
for solving this problem. Our results can be extended to hold for
digraphs of genus $o(n)$.
Acknowledgement:
References to related material:

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Hide details for BibTeXBibTeX
@TECHREPORT{DjidjevPantziouZaroliagis94a,
  AUTHOR = {Djidjev, Hristo N. and Pantziou, Grammati E. and Zaroliagis, Christos D.},
  TITLE = {On-line and Dynamic Shortest Paths through Graph Decompositions (Preliminary Version)},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-94-112},
  MONTH = {April},
  YEAR = {1994},
  ISSN = {0946-011X},
}