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Parallel algorithms with optimal speedup for bounded treewidth

Bodlaender, H. L. and Hagerup, Torben

MPI-I-95-1-017. July 1995, 27 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We describe the first parallel algorithm with
optimal speedup for constructing minimum-width
tree decompositions of graphs of bounded treewidth.
On $n$-vertex input graphs, the algorithm works in
$O((\log n)^2)$ time using $O(n)$ operations
on the EREW PRAM.
We also give faster parallel algorithms with
optimal speedup for the problem of deciding
whether the treewidth of an input graph is
bounded by a given constant and for a variety of
problems on graphs of bounded treewidth,
including all decision problems expressible
in monadic second-order logic.
On $n$-vertex input graphs, the algorithms use
$O(n)$ operations together with $O(\log n\Tlogstar n)$
time on the EREW PRAM, or $O(\log n)$ time on the CRCW PRAM.
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  AUTHOR = {Bodlaender, H. L. and Hagerup, Torben},
  TITLE = {Parallel algorithms with optimal speedup for bounded treewidth},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-95-1-017},
  MONTH = {July},
  YEAR = {1995},
  ISSN = {0946-011X},