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COCOON
2007
Springer
15 years 9 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
15 years 7 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
15 years 7 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»
15 years 3 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»
15 years 3 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