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Bounds for graph regularity and removal lemmas
graph regularity removal lemmas Combinatorics
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2011/9/20
Abstract: We show, for any positive integer k, that there exists a graph in which any equitable partition of its vertices into k parts has at least ck^2/\log^* k pairs of parts which are not \epsilon-...
Edge-Removal and Non-Crossing Perfect Matchings
Edge-Removal Non-Crossing Matchings Combinatorics Probability
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2011/9/5
Abstract: We study the following problem - How many arbitrary edges can be removed from a complete geometric graph with 2n vertices such that the resulting graph always contains a perfect non-crossing...
Generalized Methods and Solvers for Noise Removal from Piecewise Constant Signals
Generalized Methods Solvers Noise Removal
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2011/1/4
Removing noise from piecewise constant (PWC) signals, is a challenging signal processing problem arising in many practical contexts. For example, in exploration geosciences, noisy drill hole records n...