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» Homogeneous Decomposition of Polynomials
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PKC
2007
Springer
125views Cryptology» more  PKC 2007»
14 years 5 months ago
Multiparty Computation for Interval, Equality, and Comparison Without Bit-Decomposition Protocol
Damg˚ard et al. [11] showed a novel technique to convert a polynomial sharing of secret a into the sharings of the bits of a in constant rounds, which is called the bit-decomposit...
Takashi Nishide, Kazuo Ohta
ICALP
2003
Springer
14 years 4 months ago
Generating Labeled Planar Graphs Uniformly at Random
Abstract. We present an expected polynomial time algorithm to generate a labeled planar graph uniformly at random. To generate the planar graphs, we derive recurrence formulas that...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
WG
2001
Springer
14 years 3 months ago
Approximation of Pathwidth of Outerplanar Graphs
There exists a polynomial time algorithm to compute the pathwidth of outerplanar graphs [3], but the large exponent makes this algorithm impractical. In this paper, we give an alg...
Fedor V. Fomin, Hans L. Bodlaender
AAECC
2000
Springer
81views Algorithms» more  AAECC 2000»
13 years 10 months ago
On Short Multiplications and Divisions
Computing only the low degree terms of the product of two univariate polynomials is called a short multiplication. By decomposition into subproblems, a short multiplication can be ...
Thom Mulders
SIAMJO
2010
47views more  SIAMJO 2010»
13 years 5 months ago
Integer Programming Subject to Monomial Constraints
Abstract. We investigate integer programs containing monomial constraints of the type Q iI xi i = b. Due to the number-theoretic nature of these constraints, standard methods based...
Christoph Buchheim, Dennis Michaels, Robert Weisma...