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COMPGEOM
2010
ACM
15 years 10 months ago
The complexity of the normal surface solution space
Normal surface theory is a central tool in algorithmic threedimensional topology, and the enumeration of vertex normal surfaces is the computational bottleneck in many important a...
Benjamin A. Burton
STOC
1996
ACM
115views Algorithms» more  STOC 1996»
15 years 10 months ago
Minimum Cuts in Near-Linear Time
We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...
David R. Karger
COMPGEOM
2008
ACM
15 years 8 months ago
Maximum thick paths in static and dynamic environments
We consider the problem of finding a maximum number of disjoint paths for unit disks moving amidst static or dynamic obstacles. For the static case we give efficient exact algorit...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...
COMPGEOM
2011
ACM
14 years 10 months ago
Persistence-based clustering in riemannian manifolds
We present a clustering scheme that combines a mode-seeking phase with a cluster merging phase in the corresponding density map. While mode detection is done by a standard graph-b...
Frédéric Chazal, Leonidas J. Guibas,...
IPSN
2011
Springer
14 years 10 months ago
Exploration of path space using sensor network geometry
In a sensor network there are many paths between a source and a destination. An efficient method to explore and navigate in the ‘path space’ can help many important routing p...
Ruirui Jiang, Xiaomeng Ban, Mayank Goswami, Wei Ze...