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» Convex Partitions with 2-Edge Connected Dual Graphs
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SODA
2008
ACM
93views Algorithms» more  SODA 2008»
13 years 7 months ago
Minimum weight convex Steiner partitions
New tight bounds are presented on the minimum length of planar straight line graphs connecting n given points in the plane and having convex faces. Specifically, we show that the ...
Adrian Dumitrescu, Csaba D. Tóth
COMPGEOM
2001
ACM
13 years 9 months ago
The convex hull of ellipsoids
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
FOCS
2007
IEEE
14 years 4 days ago
Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting
We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our wo...
Daniel Stefankovic, Santosh Vempala, Eric Vigoda
STACS
2007
Springer
13 years 12 months ago
Testing Convexity Properties of Tree Colorings
A coloring of a graph is convex if it induces a partition of the vertices into connected subgraphs. Besides being an interesting property from a theoretical point of view, tests f...
Eldar Fischer, Orly Yahalom
INFOCOM
2012
IEEE
11 years 8 months ago
CONSEL: Connectivity-based segmentation in large-scale 2D/3D sensor networks
—A cardinal prerequisite for the system design of a sensor network, is to understand the geometric environment where sensor nodes are deployed. The global topology of a largescal...
Hongbo Jiang, Tianlong Yu, Chen Tian, Guang Tan, C...