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DAM
2010
86views more  DAM 2010»
15 years 4 months ago
Minimum fill-in and treewidth of split+ke and split+kv graphs
In this paper we investigate how graph problems that are NP-hard in general, but polynomially solvable on split graphs, behave on input graphs that are close to being split. For t...
Federico Mancini
DATAMINE
2010
166views more  DATAMINE 2010»
15 years 4 months ago
Optimal constraint-based decision tree induction from itemset lattices
In this article we show that there is a strong connection between decision tree learning and local pattern mining. This connection allows us to solve the computationally hard probl...
Siegfried Nijssen, Élisa Fromont
DCG
2010
67views more  DCG 2010»
15 years 4 months ago
Conformal Mapping in Linear Time
Given any > 0 and any planar region bounded by a simple n-gon P we construct a (1 + )-quasiconformal map between and the unit disk in time C()n. One can take C() = C + C log ...
Christopher J. Bishop
DCG
2010
76views more  DCG 2010»
15 years 4 months ago
The Euclidean Distortion of the Lamplighter Group
We show that the cyclic lamplighter group C2 Cn embeds into Hilbert space with distortion O log n . This matches the lower bound proved by Lee, Naor and Peres in [14], answering a...
Tim Austin, Assaf Naor, Alain Valette
DISOPT
2010
132views more  DISOPT 2010»
15 years 4 months ago
General approximation schemes for min-max (regret) versions of some (pseudo-)polynomial problems
While the complexity of min-max and min-max regret versions of most classical combinatorial optimization problems has been thoroughly investigated, there are very few studies abou...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...