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» Computing Tutte Polynomials
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111
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DCG
2011
14 years 6 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...
70
Voted
CORR
2007
Springer
115views Education» more  CORR 2007»
14 years 11 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»
14 years 11 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»
13 years 2 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