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SODA
2010
ACM
185views Algorithms» more  SODA 2010»
13 years 3 months ago
Solving MAX-r-SAT Above a Tight Lower Bound
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...
STACS
1999
Springer
13 years 9 months ago
Lower Bounds for Dynamic Algebraic Problems
Abstract. We consider dynamic evaluation of algebraic functions (matrix multiplication, determinant, convolution, Fourier transform, etc.) in the model of Reif and Tate; i.e., if f...
Gudmund Skovbjerg Frandsen, Johan P. Hansen, Peter...
IJCGA
2006
85views more  IJCGA 2006»
13 years 5 months ago
Some Lower Bounds on Geometric Separability Problems
We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...
DCC
2010
IEEE
13 years 5 months ago
Minimum distance of Hermitian two-point codes
In [8], the authors formulate new coset bounds for algebraic geometric codes. The bounds give improved lower bounds for the minumum distance of algebraic geometric codes as well a...
Seungkook Park
JC
2007
130views more  JC 2007»
13 years 4 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner