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APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
15 years 3 months ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...
FOCS
2003
IEEE
15 years 3 months ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee
81
Voted
COLT
2003
Springer
15 years 3 months ago
On Finding Large Conjunctive Clusters
We propose a new formulation of the clustering problem that differs from previous work in several aspects. First, the goal is to explicitly output a collection of simple and meani...
Nina Mishra, Dana Ron, Ram Swaminathan
66
Voted
IPSN
2003
Springer
15 years 3 months ago
Coverage, Exploration, and Deployment by a Mobile Robot and Communication Network
We consider the problem of coverage and exploration of an unknown dynamic environment using a mobile robot(s). The environment is assumed to be large enough such that constant moti...
Maxim A. Batalin, Gaurav S. Sukhatme
PARELEC
2002
IEEE
15 years 3 months ago
Techniques for Optimization of Net Algorithms
In this paper, techniques for optimization of net algorithms describing parallel asynchronous computations and derived from cycling and branching behavioral descriptions are prese...
Anatoly Prihozhy, Daniel Mlynek, Michail Solomenni...