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1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97)
An efficient parallel algorithm for the planar mincut linear arrangement problem for trees
Taipei, Taiwan
December 18-December 20
ISBN: 0-8186-8259-0
Sung Kwon Kim, Dept. of Comput. Sci. & Eng., Chung-Ang Univ., Seoul, South Korea
The MINCUT problem for graphs is to find a linear arrangement with minimum cut. The problem is NP-complete for general graphs while polynomial-time solvable for trees. The PLANAR MINCUT problem does not allow edge crossings in arrangements. We present a parallel algorithm for the PLANAR MINCUT problem for trees with n vertices, which takes O(log/sup 2/ n) time and O(n) processors in the EREW PRAM.
Index Terms:
trees (mathematics); parallel algorithm; planar mincut; NP-complete; polynomial-time solvable; EREW PRAM
Citation:
Sung Kwon Kim, "An efficient parallel algorithm for the planar mincut linear arrangement problem for trees," ispan, pp.240, 1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97), 1997
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