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PAAPP
1998
149views more  PAAPP 1998»
13 years 5 months ago
Optimal Mesh Algorithms for Proximity and Visibility Problems in Simple Polygons*
We present optimal parallel algorithms that run in O( pn) time on a pn pn meshconnected computer for a number of fundamental problems concerning proximity and visibility in a simp...
Sumanta Guha
CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 5 months ago
Shortest paths between shortest paths and independent sets
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
Marcin Kaminski, Paul Medvedev, Martin Milanic
FOCS
2010
IEEE
13 years 3 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster
CCCG
2003
13 years 6 months ago
Shortest Paths in Two Intersecting Pencils of Lines
Suppose one has a line arrangement and one wants to find a shortest path from one point lying on a line of the arrangement to another such point. We look at a special case: the a...
David Hart
COMPGEOM
2000
ACM
13 years 9 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia