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DCG
2011
13 years 2 months ago
Small Grid Embeddings of 3-Polytopes
We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
Ares Ribó Mor, Günter Rote, Andr&eacut...
CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 7 months ago
FPRAS for computing a lower bound for weighted matching polynomial of graphs
We give a fully polynomial randomized approximation scheme to compute a lower bound for the matching polynomial of any weighted graph at a positive argument. For the matching poly...
Shmuel Friedland
CORR
2010
Springer
69views Education» more  CORR 2010»
13 years 7 months ago
Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time
In this paper we study planar polynomial differential systems of this form: dX dt = X = A(X, Y ), dY dt = Y = B(X, Y ), where A, B Z[X, Y ] and deg A d, deg B d, A H and B H. ...
Guillaume Chèze
CRYPTO
2012
Springer
262views Cryptology» more  CRYPTO 2012»
11 years 10 months ago
Functional Encryption with Bounded Collusions via Multi-party Computation
We construct a functional encryption scheme secure against an a-priori bounded polynomial number of collusions for the class of all polynomial-size circuits. Our constructions req...
Sergey Gorbunov, Vinod Vaikuntanathan, Hoeteck Wee