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» Computing Tutte Polynomials
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VC
2008
102views more  VC 2008»
15 years 6 months ago
Solving nonlinear polynomial systems in the barycentric Bernstein basis
We present a method for solving arbitrary systems of N nonlinear polynomials in n variables over an n-dimensional simplicial domain based on polynomial representation in the baryce...
Martin Reuter, Tarjei S. Mikkelsen, Evan C. Sherbr...
ICALP
2001
Springer
15 years 10 months ago
Secure Games with Polynomial Expressions
Abstract. We present the first private information retrieval (PIR) scheme which is both, deterministically correct and has poly-logarithmic communication complexity. Our PIR proto...
Aggelos Kiayias, Moti Yung
ICALP
2005
Springer
15 years 11 months ago
Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines
We establish the first polynomial-strength time-space lower bounds for problems in the lineartime hierarchy on randomized machines with two-sided error. We show that for any inte...
Scott Diehl, Dieter van Melkebeek
TCS
2010
15 years 4 months ago
A polynomial solution to the k-fixed-endpoint path cover problem on proper interval graphs
: We study a variant of the path cover problem, namely, the k-fixed-endpoint path cover problem, or kPC for short. Given a graph G and a subset T of k vertices of V (G), a k-fixe...
Katerina Asdre, Stavros D. Nikolopoulos
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
16 years 6 months ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov