We show a tight lower bound of Ω(N log log N) on the number of transmissions required to compute several functions (including the parity function and the majority function) in a...
Abstract. In the late nineties, Erickson proved a remarkable lower bound on the decision tree complexity of one of the central problems of computational geometry: given n numbers, ...
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...
We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding nbit strings over an ℓ-bit alphabet, where the decode...
Linearity tests are randomized algorithms which have oracle access to the truth table of some function f, and are supposed to distinguish between linear functions and functions whi...