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» Computing Tutte Polynomials
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VC
2008
102views more  VC 2008»
15 years 5 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 9 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 10 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 3 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 5 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