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» Distance Approximating Trees: Complexity and Algorithms
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COMPGEOM
2006
ACM
15 years 5 months ago
Medial axis approximation and unstable flow complex
The medial axis of a shape is known to carry a lot of information about it. In particular a recent result of Lieutier establishes that every bounded open subset of Rn has the same...
Joachim Giesen, Edgar A. Ramos, Bardia Sadri
ALGOSENSORS
2008
Springer
15 years 1 months ago
Target Counting under Minimal Sensing: Complexity and Approximations
We consider the problem of counting a set of discrete point targets using a network of sensors under a minimalistic model. Each sensor outputs a single integer, the number of disti...
Sorabh Gandhi, Rajesh Kumar 0003, Subhash Suri
TALG
2008
81views more  TALG 2008»
14 years 11 months ago
Ordinal embeddings of minimum relaxation: General properties, trees, and ultrametrics
We introduce a new notion of embedding, called minimum-relaxation ordinal embedding, parallel to the standard notion of minimum-distortion (metric) embedding. In an ordinal embedd...
Noga Alon, Mihai Badoiu, Erik D. Demaine, Martin F...
ICALP
2001
Springer
15 years 4 months ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan
ISAAC
2007
Springer
100views Algorithms» more  ISAAC 2007»
15 years 5 months ago
Dynamic Distance Hereditary Graphs Using Split Decomposition
The problem of maintaining a representation of a dynamic graph as long as a certain property is satisfied has recently been considered for a number of properties. This paper prese...
Emeric Gioan, Christophe Paul