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» Improving Bound Propagation
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JSC
2010
99views more  JSC 2010»
15 years 2 months ago
Faster algorithms for computing Hong's bound on absolute positiveness
We show how to compute Hong’s bound for the absolute positiveness of a polynomial in d variables with maximum degree δ in O(n logd n) time, where n is the number of non-zero co...
Kurt Mehlhorn, Saurabh Ray
CORR
2008
Springer
150views Education» more  CORR 2008»
15 years 4 months ago
A Dynamic Programming Framework for Combinatorial Optimization Problems on Graphs with Bounded Pathwidth
In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, ...
Mugurel Ionut Andreica
75
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CORR
2007
Springer
92views Education» more  CORR 2007»
15 years 4 months ago
CD(4) has bounded width
We prove that the constraint languages invariant under a short sequence of J´onsson terms (containing at most three non-trivial ternary terms) are tractable by showing that they h...
Catarina Carvalho, Víctor Dalmau, Petar Mar...
CORR
2004
Springer
95views Education» more  CORR 2004»
15 years 4 months ago
Long Nonbinary Codes Exceeding the Gilbert - Varshamov Bound for any Fixed Distance
Let ( ) denote the maximum size of a -ary code of length and distance . We study the minimum asymptotic redundancy ( ) = log ( ) as grows while and are fixed. For any and 1, long a...
Sergey Yekhanin, Ilya Dumer
CSDA
2004
119views more  CSDA 2004»
15 years 4 months ago
Bounded optimal knots for regression splines
Using a B-spline representation for splines with knots seen as free variables, the approximation to data by splines improves greatly. The main limitations are the presence of too ...
Nicolas Molinari, Jean-François Durand, Rob...