ON DATA-STRUCTURES AND ASYMMETRIC COMMUNICATION COMPLEXITY

In this paper we consider two-party communication complexity, the ''as ymmetric case'', when the input sizes of the two players differ signif icantly. Most of previous work on communication complexity only consid ers 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 seco nd sends. These types of questions are closely related to the complexi ty of static data structure problems in the cell probe model. We deriv e 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 prev ious lower bound proofs. (C) 1998 Academic Press.