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COCOON
2007
Springer
14 years 5 months ago
Dimension, Halfspaces, and the Density of Hard Sets
We use the connection between resource-bounded dimension and the online mistake-bound model of learning to show that the following classes have polynomial-time dimension zero.
Ryan C. Harkins, John M. Hitchcock
COCOON
2007
Springer
14 years 2 months ago
An Improved Algorithm for Online Unit Clustering
Abstract. We revisit the online unit clustering problem in one dimension which we recently introduced at WAOA'06: given a sequence of n points on the line, the objective is to...
Hamid Zarrabi-Zadeh, Timothy M. Chan
COCOON
2007
Springer
14 years 2 months ago
Improved Exact Algorithms for Counting 3- and 4-Colorings
Abstract. We introduce a generic algorithmic technique and apply it on decision and counting versions of graph coloring. Our approach is based on the following idea: either a graph...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh
COMBINATORICS
2007
112views more  COMBINATORICS 2007»
13 years 11 months ago
Reversal Distance for Strings with Duplicates: Linear Time Approximation using Hitting Set
In the last decade there has been an ongoing interest in string comparison problems; to a large extend the interest was stimulated by genome rearrangement problems in computationa...
Petr Kolman, Tomasz Walen
COMBINATORICS
2007
64views more  COMBINATORICS 2007»
13 years 11 months ago
An Analogue of the Thue-Morse Sequence
We consider the finite binary words Z(n), n ∈ N, defined by the following selfsimilar process: Z(0) := 0, Z(1) := 01, and Z(n + 1) := Z(n) · Z(n − 1), where the dot · deno...
Emmanuel Ferrand