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SAMOS
2010
Springer
13 years 7 months ago
Accelerating high-level engineering computations by automatic compilation of Geometric Algebra to hardware accelerators
Abstract—Geometric Algebra (GA), a generalization of quaternions, is a very powerful form for intuitively expressing and manipulating complex geometric relationships common to en...
Jens Huthmann, Peter Muller, Florian Stock, Dietma...
FOCS
1993
IEEE
14 years 23 days ago
Dynamic Word Problems
Let M be a fixed finite monoid. We consider the problem of implementing a data type containing a vector x ϭ ( x1, x2, . . . , xn) ʦ Mn , initially (1, 1, . . . , 1), with two kin...
Gudmund Skovbjerg Frandsen, Peter Bro Miltersen, S...
IJCGA
2006
85views more  IJCGA 2006»
13 years 8 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...
STACS
2010
Springer
14 years 17 days ago
The Complexity of the List Homomorphism Problem for Graphs
We completely characterise the computational complexity of the list homomorphism problem for graphs in combinatorial and algebraic terms: for every graph H the problem is either N...
László Egri, Andrei A. Krokhin, Beno...
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 8 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous