In this paper we consider two-party communication complexity, the "asymmetric case", when the input sizes of the two players differ significantly. Most of previous work on communication complexity only considers the total number of bits sent, but we study trade-offs between the number of bits the first player sends and the number of bits the second sends. These types of questions are closely related to the complexity of static data structure problems in the cell probe model. We derive two generally applicable methods of proving lower bounds and obtain several applications. These applications include new lower bounds for data structures in the cell probe model. Of particular interest is our "round elimination" lemma, which is interesting also for the usual symmetric communication case. This lemma generalizes and abstracts in a very clean form the "round reduction" techniques used in many previous lower bound proofs.
Bibliographical noteFunding Information:
Supported by BSF 92-00106 and by a Wolfson research award, administered by the Israeli Academy of Sciences and Humanities. Part of this work was done while visiting BRICS at the University of Aarhus. Corresponding author.
-Supported by a postdoctoral fellowship from the Danish Natural Science Research Council through BRICS, University of Aarhus and by the ESPRIT II Basic Research Actions Program of the European Community under contract No. 7141 (project ALCOM II). Part of this work was done while visiting University of Toronto.
Supported by BSF 92-00043 and by a Wolfson research award. Part of this work was done while visiting BRICS at the University of Aarhus.