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ISAAC
2010
Springer
266views Algorithms» more  ISAAC 2010»
14 years 12 months ago
Structural and Complexity Aspects of Line Systems of Graphs
We study line systems in metric spaces induced by graphs. A line is a subset of vertices defined by a relation of betweeness. We show that the class of all graphs having exactly k ...
Jozef Jirásek, Pavel Klavík
JMLR
2008
83views more  JMLR 2008»
15 years 1 months ago
Generalization from Observed to Unobserved Features by Clustering
We argue that when objects are characterized by many attributes, clustering them on the basis of a random subset of these attributes can capture information on the unobserved attr...
Eyal Krupka, Naftali Tishby
LOGCOM
2007
89views more  LOGCOM 2007»
15 years 1 months ago
Algorithmic Randomness of Closed Sets
We investigate notions of randomness in the space C[2N ] of nonempty closed subsets of {0, 1}N . A probability measure is given and a version of the Martin-L¨of test for randomne...
George Barmpalias, Paul Brodhead, Douglas Cenzer, ...
FOCS
2008
IEEE
15 years 3 months ago
Set Covering with our Eyes Closed
Given a universe U of n elements and a weighted collection S of m subsets of U, the universal set cover problem is to a-priori map each element u ∈ U to a set S(u) ∈ S contain...
Fabrizio Grandoni, Anupam Gupta, Stefano Leonardi,...
RANDOM
1999
Springer
15 years 6 months ago
A Randomized Time-Work Optimal Parallel Algorithm for Finding a Minimum Spanning Forest
We present a randomized algorithm to nd a minimum spanning forest (MSF) in an undirected graph. With high probability, the algorithm runs in logarithmic time and linear work on an...
Seth Pettie, Vijaya Ramachandran