NDLI: Parallel Transitive Closure and Point Location in Planar Structures

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Tamassia, Roberto Vitter, Jeffrey S.
Copyright Year	1991
Abstract	Parallel algorithms for several graph and geometric problems are presented, including transitive closure and topological sorting in planar $st$-graphs, preprocessing planar subdivisions for point location queries, and construction of visibility representations and drawings of planar graphs. Most of these algorithms achieve optimal $O(\log n)$ running time using $n / \log n$ processors in the EREW PRAM model, n being the number of vertices.
Starting Page	708
Ending Page	725
Page Count	18
File Format	PDF
ISSN	00975397
DOI	10.1137/0220045
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	4
Volume Number	20
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-13
Access Restriction	Subscribed
Subject Keyword	parallel algorithms parallel computation visibility planar point location planar st-graphs computational geometry graph drawing reachability fractional cascading transitive closure graph algorithms
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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Parallel Transitive Closure and Point Location in Planar Structures