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WALCOM
2010
IEEE
260views Algorithms» more  WALCOM 2010»
13 years 6 months ago
Constant-Work-Space Algorithm for a Shortest Path in a Simple Polygon
We present two space-efficient algorithms. First, we show how to report a simple path between two arbitrary nodes in a given tree. Using a technique called “computing instead of ...
Tetsuo Asano, Wolfgang Mulzer, Yajun Wang
FOCS
1991
IEEE
13 years 11 months ago
On the Exponent of the All Pairs Shortest Path Problem
The upper bound on the exponent, ω, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, t...
Noga Alon, Zvi Galil, Oded Margalit
SIAMCOMP
1998
124views more  SIAMCOMP 1998»
13 years 7 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...
PAMI
2010
188views more  PAMI 2010»
13 years 2 months ago
Watershed Cuts: Thinnings, Shortest Path Forests, and Topological Watersheds
We recently introduced the watershed cuts, a notion of watershed in edge-weighted graphs. In this paper, our main contribution is a thinning paradigm from which we derive three alg...
Jean Cousty, Gilles Bertrand, Laurent Najman, Mich...
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
14 years 23 days ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...