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» Lower Bounds for Dynamic Algebraic Problems
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STACS
1999
Springer
13 years 8 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...
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 4 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
IJCGA
2006
85views more  IJCGA 2006»
13 years 4 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...
ECCC
2007
144views more  ECCC 2007»
13 years 4 months ago
Algebraic Lower Bounds for Computing on Encrypted Data
In cryptography, there has been tremendous success in building primitives out of homomorphic semantically-secure encryption schemes, using homomorphic properties in a blackbox way...
Rafail Ostrovsky, William E. Skeith III
STOC
2010
ACM
174views Algorithms» more  STOC 2010»
14 years 1 months ago
Towards Polynomial Lower Bounds for Dynamic Problems
We consider a number of dynamic problems with no known poly-logarithmic upper bounds, and show that they require n(1) time per operation, unless 3SUM has strongly subquadratic alg...
Mihai Patrascu