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ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
13 years 5 months ago
A Fully Dynamic Approximation Scheme for Shortest Paths in Planar Graphs
In this paper we give a fully dynamic approximation scheme for maintaining all-pairs shortest paths in planar networks. Given an error parameter ε such that 0 < ε, our algorit...
Philip N. Klein, Sairam Subramanian
APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
14 years 3 hour ago
Minimizing Average Shortest Path Distances via Shortcut Edge Addition
We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Adam Meyerson, Brian Tagiku
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
13 years 5 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
CAD
2004
Springer
13 years 5 months ago
Reduce the stretch in surface flattening by finding cutting paths to the surface boundary
This paper presents a method for finding cutting paths on a 3D triangular mesh surface to reduce the stretch in the flattened surface. The cutting paths link the surface boundary ...
Charlie C. L. Wang, Yu Wang 0010, Kai Tang, Matthe...
ALGORITHMICA
2011
13 years 13 days ago
On Bounded Leg Shortest Paths Problems
Let V be a set of points in a d-dimensional lp-metric space. Let s, t ∈ V and let L be any real number. An L-bounded leg path from s to t is an ordered set of points which conne...
Liam Roditty, Michael Segal