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JCT
2008
120views more  JCT 2008»
13 years 8 months ago
Approximate min-max theorems for Steiner rooted-orientations of graphs and hypergraphs
Given an undirected hypergraph and a subset of vertices S V with a specified root vertex r S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the hypered...
Tamás Király, Lap Chi Lau
KDD
2009
ACM
611views Data Mining» more  KDD 2009»
14 years 9 months ago
Fast approximate spectral clustering
Spectral clustering refers to a flexible class of clustering procedures that can produce high-quality clusterings on small data sets but which has limited applicability to large-s...
Donghui Yan, Ling Huang, Michael I. Jordan
ICALP
2009
Springer
14 years 9 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
CCCG
2007
13 years 10 months ago
Medial Axis Approximation of Planar Shapes from Union of Balls: A Simpler and more Robust Algorithm
Given a dense sampling S of the smooth boundary of a planar shape O. We show that the medial axis of the union of Voronoi balls centered at Voronoi vertices inside O has a particu...
Joachim Giesen, Balint Miklos, Mark Pauly
COMPUTING
2008
174views more  COMPUTING 2008»
13 years 9 months ago
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems
Generalizing the approach of a previous work [15] the authors present multilevel preconditioners for three-dimensional (3D) elliptic problems discretized by a family of Rannacher ...
Ivan Georgiev, Johannes Kraus, Svetozar Margenov