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» Approximating the Minimum Weight Triangulation
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JUCS
2008
151views more  JUCS 2008»
13 years 6 months ago
The Bit-Complexity of Finding Nearly Optimal Quadrature Rules for Weighted Integration
: Given a probability measure and a positive integer n. How to choose n knots and n weights such that the corresponding quadrature rule has the minimum worst-case error when appli...
Volker Bosserhoff
ESA
2005
Springer
105views Algorithms» more  ESA 2005»
14 years 7 days ago
Matching Point Sets with Respect to the Earth Mover's Distance
Let A and B be two sets of m resp. n weighted points in the plane, with m ≤ n. We present (1 + ) and (2+ )-approximation algorithms for the minimum Euclidean Earth Mover’s Dis...
Sergio Cabello, Panos Giannopoulos, Christian Knau...
SODA
2000
ACM
96views Algorithms» more  SODA 2000»
13 years 8 months ago
Improved Steiner tree approximation in graphs
The Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices terminals. We present a new polynomial-time heurist...
Gabriel Robins, Alexander Zelikovsky
SIAMCOMP
2008
137views more  SIAMCOMP 2008»
13 years 6 months ago
Approximate Shortest Paths in Anisotropic Regions
Our goal is to find an approximate shortest path for a point robot moving in a planar subdivision with n vertices. Let 1 be a real number. Distances in each face of this subdivis...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...
IPL
2007
76views more  IPL 2007»
13 years 6 months ago
Minimum cost subpartitions in graphs
Given an edge-weighted graph G = (V,E), a subset S ⊆ V , an integer k 1 and a real b 0, the minimum subpartition problem asks to find a family of k nonempty disjoint subsets X1...
Hiroshi Nagamochi, Yoko Kamidoi