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JCSS
2006
61views more  JCSS 2006»
14 years 11 months ago
Planar graphs, negative weight edges, shortest paths, and near linear time
Jittat Fakcharoenphol, Satish Rao
SIAMCOMP
1998
124views more  SIAMCOMP 1998»
14 years 11 months ago
Near-Linear Time Construction of Sparse Neighborhood Covers
This paper introduces a near-linear time sequential algorithm for constructing a sparse neighborhood cover. This implies analogous improvements (from quadratic to near-linear time)...
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
COMGEO
2006
ACM
14 years 11 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
16 years 10 days ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
15 years 1 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...