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» Convex Partitions with 2-Edge Connected Dual Graphs
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SODA
2008
ACM
93views Algorithms» more  SODA 2008»
15 years 1 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
15 years 3 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...
99
Voted
FOCS
2007
IEEE
15 years 6 months 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
15 years 6 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
139
Voted
INFOCOM
2012
IEEE
13 years 2 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...