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» Approximating the Minimum Weight Triangulation
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JUCS
2008
151views more  JUCS 2008»
14 years 11 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»
15 years 5 months 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»
15 years 1 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»
14 years 11 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»
14 years 11 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